Algebraic dynamics solutions and algebraic dynamics algorithm for nonlinear partial differential evolution equations of dynamical systems

Using functional derivative technique in quantum field theory, the algebraic dynamics approach for solution of ordinary differential evolution equations was generalized to treat partial differential evolution equations. The partial differential evolution equations were lifted to the corresponding fu...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Science China. Physics, mechanics & astronomy Ročník 51; číslo 6; s. 577 - 590
Hlavní autori: Wang, ShunJin, Zhang, Hua
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Heidelberg SP Science in China Press 01.06.2008
Springer Nature B.V
Predmet:
Algebra
Algorithms
Astronomy
Burgers equation
Classical and Continuum Physics
Differential equations
Dynamical systems
Evolutionary computation
Exact solutions
Nonlinear dynamics
Numerical analysis
Observations and Techniques
Operators (mathematics)
Partial differential equations
Physics
Physics and Astronomy
Quantum field theory
Quantum theory
Taylor series
exact algebraic dynamics solutions of nonlinear partial differential evolution equations
algebraic dynamics algorithm
functional partial differential equations
ISSN:1672-1799, 1674-7348, 1862-2844, 1869-1927
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract Using functional derivative technique in quantum field theory, the algebraic dynamics approach for solution of ordinary differential evolution equations was generalized to treat partial differential evolution equations. The partial differential evolution equations were lifted to the corresponding functional partial differential equations in functional space by introducing the time translation operator. The functional partial differential evolution equations were solved by algebraic dynamics. The algebraic dynamics solutions are analytical in Taylor series in terms of both initial functions and time. Based on the exact analytical solutions, a new numerical algorithm—algebraic dynamics algorithm was proposed for partial differential evolution equations. The difficulty of and the way out for the algorithm were discussed. The application of the approach to and computer numerical experiments on the nonlinear Burgers equation and meteorological advection equation indicate that the algebraic dynamics approach and algebraic dynamics algorithm are effective to the solution of nonlinear partial differential evolution equations both analytically and numerically.
AbstractList Using functional derivative technique in quantum field theory, the algebraic dynamics approach for solution of ordinary differential evolution equations was generalized to treat partial differential evolution equations. The partial differential evolution equations were lifted to the corresponding functional partial differential equations in functional space by introducing the time translation operator. The functional partial differential evolution equations were solved by algebraic dynamics. The algebraic dynamics solutions are analytical in Taylor series in terms of both initial functions and time. Based on the exact analytical solutions, a new numerical algorithm—algebraic dynamics algorithm was proposed for partial differential evolution equations. The difficulty of and the way out for the algorithm were discussed. The application of the approach to and computer numerical experiments on the nonlinear Burgers equation and meteorological advection equation indicate that the algebraic dynamics approach and algebraic dynamics algorithm are effective to the solution of nonlinear partial differential evolution equations both analytically and numerically.
Author Zhang, Hua
Wang, ShunJin
Author_xml – sequence: 1
  givenname: ShunJin
  surname: Wang
  fullname: Wang, ShunJin
  email: sjwang@home.swjtu.edu.cn
  organization: Center of Theoretical Physics, Sichuan University
– sequence: 2
  givenname: Hua
  surname: Zhang
  fullname: Zhang, Hua
  organization: Center of Theoretical Physics, Sichuan University
BookMark eNp1kctKAzEUhoNUUKsP4C4guBtNTubSLKV4g4IbXYdMLjUyk7TJjNBH8K2NjiIoLkJywvd_HPiP0MwHbxA6peSCEtJcJkpLxgpCFvlUVUH20CFd1FDAoixn-V03UNCG8wN0kpJrCaOMQV2TQ_R21a1NG6VTWO-87J1KOIVuHFzwCUuvsfwL5K8Q3fDcYxsizst0zhsZ8UbGwckOa2eticZ_Dub1S4fNdpSTN9hvWQbSLg2mT8do38oumZOve46ebq4fl3fF6uH2fnm1KhRwPhRWQWMY8JIRWhLFSq5bprmqFdOtNMpKWlkONaEAoCqoiOaaWmiASalbxebofPJuYtiOJg2id0mZrpPehDEJxqqalKTO4Nkv8CWM0efdBHC6qDirgGeKTpSKIaVorNhE18u4E5SIj3bE1I7I7YiPdgTJGZgyKbN-beKP-f_QO8OYl2o
Cites_doi 10.1007/s11433-007-2016-4
10.1007/s11433-006-2017-8
10.1016/0375-9601(93)90694-U
10.1007/s11433-007-0013-2
10.1007/s11433-007-0010-5
ContentType Journal Article
Copyright Science in China Press and Springer-Verlag GmbH 2008
Science in China Press and Springer-Verlag GmbH 2008.
Copyright_xml – notice: Science in China Press and Springer-Verlag GmbH 2008
– notice: Science in China Press and Springer-Verlag GmbH 2008.
DBID AAYXX
CITATION
8FE
8FG
ABJCF
AEUYN
AFKRA
ARAPS
BENPR
BGLVJ
BHPHI
BKSAR
CCPQU
DWQXO
HCIFZ
L6V
M7S
P5Z
P62
PCBAR
PHGZM
PHGZT
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
7TB
7U5
8FD
FR3
H8D
KR7
L7M
DOI 10.1007/s11433-008-0055-0
DatabaseName CrossRef
ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest One Sustainability
ProQuest Central UK/Ireland
Advanced Technologies & Computer Science Collection
AUTh Library subscriptions: ProQuest Central
Technology collection
Natural Science Collection
Earth, Atmospheric & Aquatic Science Database
ProQuest One Community College
ProQuest Central
SciTech Premium Collection
ProQuest Engineering Collection
Engineering Database
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
Earth, Atmospheric & Aquatic Science Database
ProQuest Central Premium
ProQuest One Academic
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
Mechanical & Transportation Engineering Abstracts
Solid State and Superconductivity Abstracts
Technology Research Database
Engineering Research Database
Aerospace Database
Civil Engineering Abstracts
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Technology Collection
ProQuest One Academic Middle East (New)
ProQuest Advanced Technologies & Aerospace Collection
SciTech Premium Collection
ProQuest One Community College
ProQuest Central China
Earth, Atmospheric & Aquatic Science Collection
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest One Sustainability
ProQuest Engineering Collection
Natural Science Collection
ProQuest Central Korea
ProQuest Central (New)
Engineering Collection
Advanced Technologies & Aerospace Collection
Engineering Database
ProQuest One Academic Eastern Edition
Earth, Atmospheric & Aquatic Science Database
ProQuest Technology Collection
ProQuest SciTech Collection
Advanced Technologies & Aerospace Database
ProQuest One Academic UKI Edition
Materials Science & Engineering Collection
ProQuest One Academic
ProQuest One Academic (New)
Aerospace Database
Civil Engineering Abstracts
Technology Research Database
Mechanical & Transportation Engineering Abstracts
Solid State and Superconductivity Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
DatabaseTitleList Technology Collection
Aerospace Database
Database_xml – sequence: 1
  dbid: BENPR
  name: ProQuest Central
  url: https://www.proquest.com/central
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 1862-2844
1869-1927
EndPage 590
ExternalDocumentID 10_1007_s11433_008_0055_0
GroupedDBID .86
06D
29~
2JN
2LR
408
40E
6NX
8UJ
95-
95.
AABHQ
ABFTV
ABKCH
ABMNI
ABTMW
ACGFS
ADHHG
ADURQ
ADYFF
AEGNC
AEOHA
AEXYK
AGDGC
AGQMX
AJRNO
ALMA_UNASSIGNED_HOLDINGS
AMKLP
AMYQR
B-.
BA0
BGNMA
CAG
COF
CW9
DPUIP
FNLPD
IHE
I~Z
KOV
M4Y
MA-
NB0
NQJWS
NU0
PF0
QOS
ROL
RPX
RSV
S27
SAP
SDH
SNX
SOJ
SPH
T13
U2A
UG4
VC2
W48
AAYXX
CITATION
-SA
-S~
-Y2
.VR
0R~
0VY
2J2
2JY
2KG
2KM
30V
406
5VR
5VS
8FE
8FG
96X
AAAVM
AACDK
AAHNG
AAIAL
AAJBT
AAJKR
AANZL
AAPKM
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
ABAKF
ABBBX
ABBRH
ABDBE
ABDZT
ABECU
ABHQN
ABJCF
ABJOX
ABKTR
ABMQK
ABNWP
ABQBU
ABRTQ
ABSXP
ABTEG
ABTHY
ABTKH
ABWNU
ABXPI
ACAOD
ACBXY
ACDTI
ACHSB
ACHXU
ACIWK
ACKNC
ACMDZ
ACMLO
ACOKC
ACPIV
ACREN
ACSNA
ACZOJ
ADHIR
ADKNI
ADKPE
ADRFC
ADTPH
ADYOE
ADZKW
AEBTG
AEFQL
AEGAL
AEJHL
AEJRE
AEMSY
AEPYU
AESKC
AETLH
AEUYN
AEVLU
AFDZB
AFFHD
AFKRA
AFLOW
AFQWF
AFUIB
AFWTZ
AFZKB
AGAYW
AGJBK
AGMZJ
AGQEE
AGRTI
AGWZB
AGYKE
AHBYD
AHPBZ
AHYZX
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AJBLW
AJZVZ
ALWAN
AMTXH
AMXSW
AMYLF
AOCGG
ARAPS
ARMRJ
ATHPR
AXYYD
AYFIA
BDATZ
BENPR
BGLVJ
BHPHI
BKSAR
BSONS
CAJEA
CCEZO
CCPQU
CCVFK
CHBEP
CSCUP
DDRTE
DNIVK
DWQXO
EBLON
EBS
EIOEI
ESBYG
FEDTE
FERAY
FFXSO
FIGPU
FINBP
FRRFC
FSGXE
FWDCC
GGCAI
GGRSB
GJIRD
GNWQR
GQ7
HCIFZ
HG6
HMJXF
HRMNR
HVGLF
HZ~
IJ-
IKXTQ
IWAJR
IXD
J-C
JBSCW
JZLTJ
L6V
LLZTM
M7S
NPVJJ
O9J
P62
P9T
PCBAR
PHGZM
PHGZT
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PT4
PTHSS
Q--
R89
S16
S3B
SCL
SHX
SISQX
SJYHP
SNE
SNPRN
SOHCF
SPISZ
SRMVM
SSLCW
SZN
TSG
TUC
U1G
U5K
UOJIU
UTJUX
UZXMN
VFIZW
W23
YLTOR
ZMTXR
~A9
7TB
7U5
8FD
FR3
H8D
KR7
L7M
ID FETCH-LOGICAL-c299t-fc27e329430140c349db3d9c6c3dbaecfa15f92601222c5250d9d1f2723aadbc3
IEDL.DBID BENPR
ISICitedReferencesCount 3
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000256031100002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1672-1799
1674-7348
IngestDate Fri Jul 11 05:45:03 EDT 2025
Fri Nov 07 23:34:14 EST 2025
Sat Nov 29 05:51:45 EST 2025
Fri Feb 21 02:28:15 EST 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Keywords exact algebraic dynamics solutions of nonlinear partial differential evolution equations
algebraic dynamics algorithm
functional partial differential equations
Language English
License http://www.springer.com/tdm
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c299t-fc27e329430140c349db3d9c6c3dbaecfa15f92601222c5250d9d1f2723aadbc3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ObjectType-Article-2
ObjectType-Feature-1
content type line 23
PQID 2918593529
PQPubID 2044215
PageCount 14
ParticipantIDs proquest_miscellaneous_33560406
proquest_journals_2918593529
crossref_primary_10_1007_s11433_008_0055_0
springer_journals_10_1007_s11433_008_0055_0
PublicationCentury 2000
PublicationDate 20080600
2008-6-00
20080601
PublicationDateYYYYMMDD 2008-06-01
PublicationDate_xml – month: 6
  year: 2008
  text: 20080600
PublicationDecade 2000
PublicationPlace Heidelberg
PublicationPlace_xml – name: Heidelberg
– name: Beijing
PublicationTitle Science China. Physics, mechanics & astronomy
PublicationTitleAbbrev Sci. China Ser. G-Phys. Mech. Astron
PublicationYear 2008
Publisher SP Science in China Press
Springer Nature B.V
Publisher_xml – name: SP Science in China Press
– name: Springer Nature B.V
References Wang, Li, Weiguny (CR4) 1993; 180
Wang, Zhang (CR2) 2007; 50
Wang, Zhang (CR1) 2006; 49
Wang, Zhang (CR3) 2007; 50
S. J. Wang (55_CR2) 2007; 50
S. J. Wang (55_CR1) 2006; 49
S. J. Wang (55_CR3) 2007; 50
S. J. Wang (55_CR4) 1993; 180
References_xml – volume: 50
  start-page: 1
  issue: 1
  year: 2007
  end-page: 18
  ident: CR2
  article-title: Algebraic algebraic dynamics algorithm: Numerical comparison with runge-kutta algorithm and symplectic geometric algorithm
  publication-title: Sci China Ser G-Phys Mech Astron
  doi: 10.1007/s11433-007-2016-4
– volume: 49
  start-page: 716
  issue: 6
  year: 2006
  end-page: 728
  ident: CR1
  article-title: Algebraic dynamics solutions and algebraic dynamics algorithm for nonlinear ordinary differential equations
  publication-title: Sci China Ser G-Phys Mech Astron
  doi: 10.1007/s11433-006-2017-8
– volume: 180
  start-page: 189
  year: 1993
  ident: CR4
  article-title: Algebraic dynamics and time-dependent dynamical symmetry of nonautonomous systems
  publication-title: Phys Lett A
  doi: 10.1016/0375-9601(93)90694-U
– volume: 50
  start-page: 133
  issue: 2
  year: 2007
  end-page: 143
  ident: CR3
  article-title: Symplectic algebraic dynamics algorithm
  publication-title: Sci China Ser G-Phys Mech Astron
  doi: 10.1007/s11433-007-0013-2
– volume: 49
  start-page: 716
  issue: 6
  year: 2006
  ident: 55_CR1
  publication-title: Sci China Ser G-Phys Mech Astron
  doi: 10.1007/s11433-006-2017-8
– volume: 180
  start-page: 189
  year: 1993
  ident: 55_CR4
  publication-title: Phys Lett A
  doi: 10.1016/0375-9601(93)90694-U
– volume: 50
  start-page: 1
  issue: 1
  year: 2007
  ident: 55_CR2
  publication-title: Sci China Ser G-Phys Mech Astron
  doi: 10.1007/s11433-007-0010-5
– volume: 50
  start-page: 133
  issue: 2
  year: 2007
  ident: 55_CR3
  publication-title: Sci China Ser G-Phys Mech Astron
  doi: 10.1007/s11433-007-0013-2
SSID ssib031332660
ssib017601040
ssj0044082
ssib003067021
ssib019627883
ssib001552982
ssj0000390474
Score 1.7693114
Snippet Using functional derivative technique in quantum field theory, the algebraic dynamics approach for solution of ordinary differential evolution equations was...
SourceID proquest
crossref
springer
SourceType Aggregation Database
Index Database
Publisher
StartPage 577
SubjectTerms Algebra
Algorithms
Astronomy
Burgers equation
Classical and Continuum Physics
Differential equations
Dynamical systems
Evolutionary computation
Exact solutions
Nonlinear dynamics
Numerical analysis
Observations and Techniques
Operators (mathematics)
Partial differential equations
Physics
Physics and Astronomy
Quantum field theory
Quantum theory
Taylor series
SummonAdditionalLinks – databaseName: SpringerLINK Contemporary 1997-Present
  dbid: RSV
  link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3JTsMwELVQAYkLOyJQwAdOoEiJ3SbxsUJUnBBiU2-R4wUqQVqatP_AXzN24oayHOASKYljO55x3kzGfoPQqVQdmmUi8lkEhw7TzGc8DnxAC0WooDLT2iabiK-vk8GA3dT7uAu32t2FJO2XutnsBtBOfRuuD7pdH_z0ZUC7xMzG27vHzzYAYQsU7VEcNBgVxtYFmStpaLLPJA3GUnDaALQC9zm3GZmN1xbFxHB5Mhca_alLi-DWWKxfgqwWu_ob_3rrTbRem6q4V-nWFlpS-TZatUtGRbGD3nsvTybqPBRYVmntCzxXZMxzifn3AnBpNBmWz68YjGWcVzwdfILHRoOhMZevxZ6oWV0dVm8VI3mBR9pVBgUqGupiFz30L-8vrvw6sYMvAP1KXwsSK0oM8zv4d4J2mMyoZCIyusGV0DzsambIzsB6ESbwKpkMNYkJ5Vxmgu6hFvRQ7SMcwePgEyqaRRxsz5CDaAkPhWYqSDhXHjpzEknHFX9H2jA1m7FNbR5OGNs08FDbySytp3KREhYaTjhQKg-dzG_DJDSRFZ6r0bRIKQXDEUwjD507KTYV_NrcwZ9KH6K1aq2K-QPURq1yMlVHaEXMymExObZz4AMxTfwJ
  priority: 102
  providerName: Springer Nature
Title Algebraic dynamics solutions and algebraic dynamics algorithm for nonlinear partial differential evolution equations of dynamical systems
URI https://link.springer.com/article/10.1007/s11433-008-0055-0
https://www.proquest.com/docview/2918593529
https://www.proquest.com/docview/33560406
Volume 51
WOSCitedRecordID wos000256031100002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVPQU
  databaseName: Earth, Atmospheric & Aquatic Science Database
  customDbUrl:
  eissn: 1862-2844
  dateEnd: 20241207
  omitProxy: false
  ssIdentifier: ssj0000390474
  issn: 1672-1799
  databaseCode: PCBAR
  dateStart: 20030201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/eaasdb
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Engineering Database
  customDbUrl:
  eissn: 1862-2844
  dateEnd: 20241207
  omitProxy: false
  ssIdentifier: ssj0000390474
  issn: 1672-1799
  databaseCode: M7S
  dateStart: 20030201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest advanced technologies & aerospace journals
  customDbUrl:
  eissn: 1862-2844
  dateEnd: 20241207
  omitProxy: false
  ssIdentifier: ssj0000390474
  issn: 1672-1799
  databaseCode: P5Z
  dateStart: 20030201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/hightechjournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 1862-2844
  dateEnd: 20241207
  omitProxy: false
  ssIdentifier: ssj0000390474
  issn: 1672-1799
  databaseCode: BENPR
  dateStart: 20030201
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVAVX
  databaseName: SpringerLINK
  customDbUrl:
  eissn: 1862-2844
  dateEnd: 20091231
  omitProxy: false
  ssIdentifier: ssj0044082
  issn: 1672-1799
  databaseCode: RSV
  dateStart: 20030201
  isFulltext: true
  titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22
  providerName: Springer Nature
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dT9swED-Ndki8wNhA6_jyA0-bLJI4SesnVBBoT1UFG6p4iRx_QCXWr7T9H_ivd-ckrQaCl71YiuP4LN3Zd767_A7g1NhY5LlOuUyxiaWTXKp2wFFb2EhoYXLnfLGJdq_XGQxkv3K4FVVaZX0m-oPajDX5yM8iGRI0VxLJ88mUU9Uoiq5WJTQ2oElIZXEDmhdXvf7NyssS4JU-9lDMlG3PCcqlDm36_-fQWhDcZwAEScKDf5XT2uJ8EST1uud6539X_Qm2K6uTdUsx2YUPdvQZNn32py6-wHP36YECyEPNTFmhvmArmWRqZJh6PQC7kNL88Q9Du5eNSsgNNWMTEkYkVpde8Q92WU3H7LQEFy_Y2NWT4YASUbrYg9_XV78uf_KqRgPXqMjm3OmobUVEIO54VdMiliYXRuqU2KysdipMnCTcMjRENMVQjTShi9qRUMrkWuxDA1dovwJL8XO83lmRpwrNyFDh-RKpUDtpg45StgXfa-ZkkxKKI1uDLhMnM19SEzmZBS04rBmSVbuyyNbcaMHJ6jXuJwqSqJEdL4pMCLQB0cppwY-a6esJ3iT37X1yB7BV5pmQ9-YQGvPZwh7BR72cD4vZcSW0x5R3eottP7nHvv7lRZf6bm7v_gI7b_ur
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LT9wwEB4BLWov9EFRl0fxoVxaWSR2NosPCCEoAkFXlUolbsHxo6xUsstmAfET-mf6G5lx1rtqUXvj0EukJI7t2POyZ_wNwHvrMlmWJucqx0umvOJKdxKO2sIJaaQtvQ_JJjrd7tbZmfoyA7_iWRgKq4wyMQhq2ze0R74pVErQXG2hdgZXnLJGkXc1ptBoyOLY3d3ikq3ePtrH-d0Q4uDT6d4hH2cV4AZF74h7IzpOCoIdx8WFkZmypbTK5NQx7YzXadsrQtpC1WnI62eVTb3oCKm1LY3EemfhSUbSP4QKfp3s6SRSJVkAfqbYfk7AMdGRGk7roW0ieYg3SNptnvyuCqf27R8u2aDpDl78b2P0EhbGNjXbbZjgFcy46jXMh9hWUy_Cz90f38k93jPM3lX6Eh-yCccxXVmmHxbAR_hno4tLhlY9qxpAET1kA2I1bCwmlgk37mZcHXNXDXR6zfo-VoYFGrzs-g18e5RxWII57KF7CyzHz3Hx6mSZazSSU43SU-jUeOWSLa1dCz5EYigGDdBIMYWUJsopQsJQpJwiacFqJIBiLHPqYjr7LVifvEZpQS4gXbn-dV1IiRYu2nAt-BiJbFrBX5tb_ndz6_Ds8PTzSXFy1D1egedNRA3tU63C3Gh47dbgqbkZ9erhu8AuDM4fm_buAQJXUz0
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT-MwEB4hWBAXWB4rusDiAydQRGK3SX1EQMUKVCHxELfI8QMqsWlpUv4D_3rHTtzwPCAukZI4tmWPM99knO8D2FW6zbJMxgGP8dDmhgdcJGGA3kJTJpnKjHFiE0m_37295Re1zmnhd7v7lGT1T4NlacrLg5EyB82Pb-jmWeBS92GnE2DMPte2mkE2XL-8eYkHKH9F1x4nYeOvosSFI1ODjawSTbfxtwwDOHRgoX-1O3VmG8HFCbW8ntynST_q0mtH16DXNwlX58d6y98egZ-wVENYcljZ3ArM6HwV5t1WUlmswfPhw53NRg8kUZXcfUGmBk5Eroh4XwAvDceD8v4fQRBN8oq_Q4zJyFo2NuZ1XNyJfqqrI_qxYiovyND4yrBARU9drMN17-Tq6DSoBR8CiV6xDIykiWbUMsJj3CdZm6uMKS5jazNCSyOijuGWBA1RjbQJWcVVZGhCmRAqk-wXzGIP9QaQGB_HWFGzLBaISSOB00xFJA3XYVcI3YI9PzvpqOL1SBsGZzu2qdPnxLFNwxZs-flL6yVepJRHlisODawFO9PbuDhtxkXkejgpUsYQUCJkasG-n9Gmgk-b-_2l0juwcHHcS8__9s82YbHazmI_Em3BbDme6G34IZ_KQTH-45bGf4bqB-A
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Algebraic+dynamics+solutions+and+algebraic+dynamics+algorithm+for+nonlinear+partial+differential+evolution+equations+of+dynamical+systems&rft.jtitle=Science+China.+Physics%2C+mechanics+%26+astronomy&rft.au=Wang%2C+ShunJin&rft.au=Zhang%2C+Hua&rft.date=2008-06-01&rft.pub=Springer+Nature+B.V&rft.issn=1674-7348&rft.eissn=1869-1927&rft.volume=51&rft.issue=6&rft.spage=577&rft.epage=590&rft_id=info:doi/10.1007%2Fs11433-008-0055-0
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1672-1799&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1672-1799&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1672-1799&client=summon