Soliton solutions to the non-local Boussinesq equation by multiple exp-function scheme and extended Kudryashov’s approach

In this paper, we study the exact solutions of non-local Boussinesq equation (nlBq) which appears in many scientific fields. We generate dark solitons, singular solitons, a new family of solitons and combo dark–singular soliton-type solutions of nlBq by the extended Kudryashov’s algorithm. Additiona...

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Vydáno v:Pramāṇa Ročník 92; číslo 2; s. 1 - 11
Hlavní autoři: Adem, Abdullahi Rashid, Yildirim, Yakup, Yaşar, Emrullah
Médium: Journal Article
Jazyk:angličtina
Vydáno: New Delhi Springer India 01.02.2019
Springer Nature B.V
Témata:
Algorithms
Astronomy
Astrophysics and Astroparticles
Boussinesq equations
Observations and Techniques
Physics
Physics and Astronomy
Solitary waves
02.70.Wz
02.20.Sv
Non-local Boussinesq (nlBq) equation
multiple exp-function algorithm
02.30.Jr
04.20.Jb
extended Kudryashov’s algorithm
Lie symmetry analysis
ISSN:0304-4289, 0973-7111
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Shrnutí:In this paper, we study the exact solutions of non-local Boussinesq equation (nlBq) which appears in many scientific fields. We generate dark solitons, singular solitons, a new family of solitons and combo dark–singular soliton-type solutions of nlBq by the extended Kudryashov’s algorithm. Additional solutions such as singular periodic solutions also fall out of this integration scheme. Also, one-soliton, two-soliton and three-soliton type solutions are presented using multiple exp-function algorithm. Lastly, Lie symmetry analysis with the new similarity reductions is also examined.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-018-1679-x