Use of Quantum Differential Equations in Sonic Processes
Emerging as a new field, quantum computation has reinvented the fundamentals of Computer Science and knowledge theory in a manner consistent with quantum physics. The fact that quantum computation has superior features and new events than classical computation provides benefits in proving mathematic...
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| Vydáno v: | Applied mathematics and nonlinear sciences Ročník 6; číslo 1; s. 21 - 28 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Beirut
Sciendo
01.01.2021
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services |
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| ISSN: | 2444-8656, 2444-8656 |
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| Abstract | Emerging as a new field, quantum computation has reinvented the fundamentals of Computer Science and knowledge theory in a manner consistent with quantum physics. The fact that quantum computation has superior features and new events than classical computation provides benefits in proving mathematical theories. With advances in technology, the nonlinear partial differential equations are used in almost every area, and many difficulties have been overcome by the solutions of these equations. In particular, the complex solutions of KdV and Burgers equations have been shown to be used in modeling a simple turbulence flow. In this study, Burger-like equation with complex solutions is defined in Hilbert space and solved with an example. In addition, these solutions were analyzed. Thanks to the Quantum Burgers-Like equation, the nonlinear differential equation is solved by linearizing. The pattern changes of time made the result linear. This means that the Quantum Burgers-Like equation can be used to smoothen the sonic processing. |
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| AbstractList | Emerging as a new field, quantum computation has reinvented the fundamentals of Computer Science and knowledge theory in a manner consistent with quantum physics. The fact that quantum computation has superior features and new events than classical computation provides benefits in proving mathematical theories. With advances in technology, the nonlinear partial differential equations are used in almost every area, and many difficulties have been overcome by the solutions of these equations. In particular, the complex solutions of KdV and Burgers equations have been shown to be used in modeling a simple turbulence flow. In this study, Burger-like equation with complex solutions is defined in Hilbert space and solved with an example. In addition, these solutions were analyzed. Thanks to the Quantum Burgers-Like equation, the nonlinear differential equation is solved by linearizing. The pattern changes of time made the result linear. This means that the Quantum Burgers-Like equation can be used to smoothen the sonic processing. |
| Author | Agarwal, Praveen Gençoğlu, Muharrem Tuncay |
| Author_xml | – sequence: 1 givenname: Muharrem Tuncay surname: Gençoğlu fullname: Gençoğlu, Muharrem Tuncay email: mt.gencoglu@firat.edu.tr organization: Vocational School of Technical Sciences, University of Firat, Elazig, Turkey – sequence: 2 givenname: Praveen surname: Agarwal fullname: Agarwal, Praveen email: goyal.praveen2011@gmail.com organization: Anand International College of Engineering, Near Kanota, Agra Road, Jaipur-303012, Rajasthan, India |
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| Cites_doi | 10.1023/A:1025835216975 10.1016/j.chaos.2007.03.002 10.1166/jap.2017.1326 10.1016/0375-9601(96)00283-6 10.20852/ntmsci.2017.201 10.1007/s11071-016-2716-2 10.1016/0375-9601(96)00103-X |
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| References | Gençoğlu, M.T. (j_amns.2020.2.00003_ref_013) 2013; 8 Pravia, M.A.; Chen, Z.; Cory, D.G. (j_amns.2020.2.00003_ref_011) 2003; 2 Gençoğlu, M.T.; Akgül, A.; İnç, M. (j_amns.2020.2.00003_ref_005) 2017; 5 Zhang, H. (j_amns.2020.2.00003_ref_009) 2009; 39 Wang, M.L.; Zhou, Y.B.; Li, Z.B. (j_amns.2020.2.00003_ref_003) 1996; 216 İnan, İ.E.; Uğurlu, Y.; Duran, S. (j_amns.2020.2.00003_ref_008) 2010; 5 Wang, M.L. (j_amns.2020.2.00003_ref_002) 1996; 213 İnç, M.; Gençoğlu, M.T.; Akgül, A. (j_amns.2020.2.00003_ref_004) 2017; 6 Duran, S.; Uğurlu, Y.; İnan, İ.E. (j_amns.2020.2.00003_ref_007) 2012; 20 Kumar, S.; Kumar, A.; Baleanu, D. (j_amns.2020.2.00003_ref_006) 2016; 85 İnan, İ.E.; Bulut, H. (j_amns.2020.2.00003_ref_010) 2009; 4 2024043023354050762_j_amns.2020.2.00003_ref_010 2024043023354050762_j_amns.2020.2.00003_ref_011 2024043023354050762_j_amns.2020.2.00003_ref_003 2024043023354050762_j_amns.2020.2.00003_ref_014 2024043023354050762_j_amns.2020.2.00003_ref_004 2024043023354050762_j_amns.2020.2.00003_ref_015 2024043023354050762_j_amns.2020.2.00003_ref_001 2024043023354050762_j_amns.2020.2.00003_ref_012 2024043023354050762_j_amns.2020.2.00003_ref_002 2024043023354050762_j_amns.2020.2.00003_ref_013 2024043023354050762_j_amns.2020.2.00003_ref_007 2024043023354050762_j_amns.2020.2.00003_ref_008 2024043023354050762_j_amns.2020.2.00003_ref_005 2024043023354050762_j_amns.2020.2.00003_ref_006 2024043023354050762_j_amns.2020.2.00003_ref_009 |
| References_xml | – volume: 39 start-page: 1020 year: 2009 end-page: 1026 ident: j_amns.2020.2.00003_ref_009 article-title: A direct algebraic method applied to obtain complex solutions of some nonlinear partial differential equations publication-title: Chaos, Solitons & Fractals – volume: 5 start-page: 262 issue: 3 year: 2017 end-page: 272 ident: j_amns.2020.2.00003_ref_005 article-title: On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation publication-title: New Trends in Mathematical Science – volume: 4 start-page: 0 issue: 3 year: 2009 end-page: 65 ident: j_amns.2020.2.00003_ref_010 article-title: Complex solutions for fifth-order KdV equation and (3+1) dimensional Burgers equation publication-title: e-Journal of New World Science Academy Physical Sciences – volume: 213 start-page: 279 year: 1996 end-page: 287 ident: j_amns.2020.2.00003_ref_002 article-title: Exact Solutions for a compound KdV-Burgers equation publication-title: Physics Letters A – volume: 8 start-page: 121 issue: 2 year: 2013 end-page: 123 ident: j_amns.2020.2.00003_ref_013 article-title: Complex Solution for Burgers-Like Equation publication-title: Türkish Journal of Science & Technology – volume: 216 start-page: 67 year: 1996 end-page: 65 ident: j_amns.2020.2.00003_ref_003 article-title: Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics publication-title: Physics Letters A – volume: 20 start-page: 1607 issue: 12 year: 2012 end-page: 1611 ident: j_amns.2020.2.00003_ref_007 article-title: Expansion Method for (3+1) – dimensional Burgers and Burgers Like equation publication-title: World Applied Journal – volume: 5 start-page: 37 issue: 1 year: 2010 end-page: 42 ident: j_amns.2020.2.00003_ref_008 article-title: Complex solution for night-order korteweg-de Vries (nkdV) equation and 2-dimensional Burgers equation publication-title: Türkish Journal of Science & Technology – volume: 2 start-page: 1 year: 2003 end-page: 2 ident: j_amns.2020.2.00003_ref_011 article-title: Experimental demonstration of Quantum Lattice Gas computation publication-title: Quantum Information Processing – volume: 6 start-page: 216 issue: 2 year: 2017 end-page: 222 ident: j_amns.2020.2.00003_ref_004 article-title: Application of Extended Adomian Decomposition Method and Extended Variational Iteration Method to Hirota-Satsuma coupled KdV equation publication-title: Journal of Advanced Physics – volume: 85 start-page: 699 issue: 2 year: 2016 end-page: 715 ident: j_amns.2020.2.00003_ref_006 article-title: Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves publication-title: Nonlinear Dynamics – ident: 2024043023354050762_j_amns.2020.2.00003_ref_011 doi: 10.1023/A:1025835216975 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_015 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_014 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_009 doi: 10.1016/j.chaos.2007.03.002 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_004 doi: 10.1166/jap.2017.1326 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_003 doi: 10.1016/0375-9601(96)00283-6 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_010 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_012 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_013 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_005 doi: 10.20852/ntmsci.2017.201 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_007 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_008 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_006 doi: 10.1007/s11071-016-2716-2 – ident: 2024043023354050762_j_amns.2020.2.00003_ref_002 doi: 10.1016/0375-9601(96)00103-X – ident: 2024043023354050762_j_amns.2020.2.00003_ref_001 |
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| SubjectTerms | 00A69 81P68 81Q80 82D77 93B18 93C20 94A05 Partial differential equations Quantum Computing Quantum Differential Equation Sonic Processes Sound Smoothing |
| Title | Use of Quantum Differential Equations in Sonic Processes |
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