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Year 2021, Volume: 4 Issue: 3, 126 - 132, 27.12.2021
https://doi.org/10.33187/jmsm.1022320

Abstract

References

  • [1] S. Kumar, H. Almusawa, I. Hamid, MA Akbar, MA Abdou, Abundant analytical soliton solutions and Evolutionary behaviors of various wave profiles to the Chaffee–Infante equation with gas diffusion in a homogeneous medium, Results Phys., (2021), Article ID 104866.
  • [2] K. K. ALi, R. Yilmazer, H. M. Baskonus, H. Bulut, Modulation instability analysis and analytical solutions to the system of equations for the ion sound and Langmuir waves, Phys. Scr., 95 (2020), Article ID 065602.
  • [3] H. Dutta, H. G¨unerhan, K. K. Ali, R. Yilmazer, Exact Soliton Solutions to the Cubic-Quartic Non-linear Schr¨odinger Equation With Conformable Derivative, Frontiers in Physics 8 (2020).
  • [4] W. H. Zhu, L. G. Liu, Stripe solitons and lump solutions to a generalized (3+ 1)-dimensional B-type Kadomtsev-Petviashvili equation with variable coefficients in fluid dynamics, J. Math. Anal. Appl., 502 (2021), Article ID 125198.
  • [5] J. Manafian, O. A. Ilhan, K. K. Ali, S. Abid, Cross-kink wave solutions and semi-inverse variational method for (3+ 1)-dimensional potential-YTSF equation, East Asian J. Appl. Math., 10 (2020), 549–65.
  • [6] H. F. Ismael, H. Bulut, H. M. Baskonus, W. Gao, Dynamical behaviors to the coupled Schr¨odinger-Boussinesq system with the beta derivative, AIMS Math., 6 (2021), 7909–28.
  • [7] K. K. Ali, R. Yilmazer, H. Bulut, T. Akt¨urk, M. S. Osman, Abundant exact solutions to the strain wave equation in micro-structured solids, Modern Phys. Lett. B, 35 (2021), Article ID 2150439.
  • [8] H. F. Ismael, A. Seadawy, H. Bulut, Multiple soliton, fusion, breather, lump, mixed kink-lump and periodic solutions to the extended shallow water wave model in (2+ 1)-dimensions,Modern Phys. Lett. B, 35 (2021), Article ID 2150138.
  • [9] J. G. Liu, W. H. Zhu, Y. He, Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients, Z. Angew. Math. Phys., 72 (2021), 1–12.
  • [10] W. X. Ma, T. Huang, Y. Zhang, A multiple exp-function method for nonlinear differential equations and its application, Phys. Scr., 82 (2010), Article ID 65003.
  • [11] H. M. Baskonus, New acoustic wave behaviors to the Davey–Stewartson equation with power-law nonlinearity arising in fluid dynamics, Nonlinear Dynam., (2016).
  • [12] Y. X. Li, E. Celik, J. L. Guirao, T. Saeed, H. M. Baskonus, On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive d-potential, Results Phys., 25 (2021)., Aertcle ID 104303.
  • [13] S. T. Demiray, H. Bulut, E. Celik, Soliton solutions of Wu-Zhang system by generalized Kudryashov method, AIP Conference Proceedings (2037), (2018), (020025).
  • [14] H. F. Ismael, H. Bulut, H. M. Baskonus, Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and (m+(G0=G))- expansion method, Pramana, 94 (2020), 1–9.
  • [15] E. Celik, H. Bulut, H. M. Baskonus, Novel features of the nonlinear model arising in nano-ionic currents throughout microtubules, Indian J. Phys., 92 (2018), 1137-1143.
  • [16] J.P. Fang, Q.B. Ren, C.L. Zheng, New exact solutions and fractal localized structures for the (2+1)-dimensional Boiti–Leon–Pempinelli system. Z. Naturforsch, 60 (2005), 245–251 .
  • [17] M. A. Dokuyucu, E. Celik, Analyzing a novel coronavirus model (COVID-19) in the sense of caputo-fabrizio fractional operator. Comput. Appl. Math., (2021), 49-69.
  • [18] H.F. Ismael, M. A. S. Murad, H. Bulut, Various exact wave solutions for KdV equation with time-variable coefficients, J. Ocean Eng. Sci., (2021).
  • [19] H. F. Ismael, H. Bulut, Nonlinear dynamics of (2+1)-dimensional Bogoyavlenskii-Schieff equation arising in plasma physics, Math. Methods Appl. Sci., 44(13) (2021), 10321-10330.
  • [20] H. F. Ismael, H. Bulut, Multi soliton solutions, M-lump waves and mixed soliton-lump solutions to the awada-Kotera equation in (2+ 1)-dimensions, Chinese J. Phys., 71 (2021), 54–61.
  • [21] F. Dusunceli, E. Celik, M. Askin, H. Bulut, New exact solutions for the doubly dispersive equation using the improved Bernoulli sub-equation function method, Indian J. Phys., 95 (2021) 309-314.
  • [22] X. Guan, W. Liu, Q. Zhou, A. Biswas, Darboux transformation and analytic solutions for a generalized super-NLS-mKdV equation, Nonlinear Dyn., 98 (2019), 1491–1500.
  • [23] K. K. Ali, R. Yilmazer, M. S. Osman, Extended Calogero-Bogoyavlenskii-Schff equation and its dynamical behaviors, Phys Scr., (2021).
  • [24] E. Date, M. Jimbo, M. Kashiwara, T. Miwa, Transformation groups for soliton equations: IV. A new hierarchy of soliton equations of KP-type, Phys. D., 4 (1982), 343–65.
  • [25] A. M. Wazwaz, A (2+ 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation: Painlev´e integrability and multiple soliton solutions, Comput. Math. Appl., 79 (2020), 1145–9.
  • [26] H. F. Ismael, A. Seadawy, H. Bulut, Rational solutions, and the interaction solutions to the (2+ 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation, Int. J. Comput. Math., 9812 (2021), 2369–2377.
  • [27] A. W. Wazwaz, New (3+ 1)-dimensional Date-Jimbo-Kashiwara-Miwa equations with constant and time-dependent coefficients: Painlev´e integrability, Phys. Lett. A, 384 (2020), 126787.
  • [28] H. Almusawa, K. K. Ali, A. M. Wazwaz, M. S. Mehanna, D. Baleanu , M.S. Osman, Protracted study on a real physical phenomenon generated by media inhomogeneities, Results Phys., 31 (2021), Article ID 104933.
  • [29] B. Ghanbari, C. K. Kuo, New exact wave solutions of the variable-coefficient (1+ 1)-dimensional Benjamin-Bona-Mahony and (2+ 1)-dimensional asymmetric Nizhnik-Novikov-Veselov equations via the generalized exponential rational function method, Eur. Phys. J. Plus, 134 (2019), 1–13.
  • [30] B. Ghanbari, Abundant soliton solutions for the Hirota–Maccari equation via the generalized exponential rational function method, Modern Phys. Lett. B, 33(9) (2019), 1950106.
  • [31] B. Ghanbari, M. Inc, A new generalized exponential rational function method to find exact special solutions for the resonance nonlinear Schr¨odinger equation Eur. Phys. J. Plus, 133(4) (2018).
  • [32] K. K. Ali, H. Dutta, R. Yilmazer, S. Noeiaghdam, On the new wave behaviors of the Gilson-Pickering equation, Front Phys., 8(2020).

New wave behaviors of the (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

Year 2021, Volume: 4 Issue: 3, 126 - 132, 27.12.2021
https://doi.org/10.33187/jmsm.1022320

Abstract

In this study, the (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation that indicated the propagation of nonlinear dispersive waves in inhomogeneous media is given for consideration. The generalized exponential rational function method is used to seek some new exact solutions for the considered equation. The three-dimensional surfaces and two-dimensional graphs of the obtained solutions are plotted by choosing the appropriate values of the involving free parameters.

References

  • [1] S. Kumar, H. Almusawa, I. Hamid, MA Akbar, MA Abdou, Abundant analytical soliton solutions and Evolutionary behaviors of various wave profiles to the Chaffee–Infante equation with gas diffusion in a homogeneous medium, Results Phys., (2021), Article ID 104866.
  • [2] K. K. ALi, R. Yilmazer, H. M. Baskonus, H. Bulut, Modulation instability analysis and analytical solutions to the system of equations for the ion sound and Langmuir waves, Phys. Scr., 95 (2020), Article ID 065602.
  • [3] H. Dutta, H. G¨unerhan, K. K. Ali, R. Yilmazer, Exact Soliton Solutions to the Cubic-Quartic Non-linear Schr¨odinger Equation With Conformable Derivative, Frontiers in Physics 8 (2020).
  • [4] W. H. Zhu, L. G. Liu, Stripe solitons and lump solutions to a generalized (3+ 1)-dimensional B-type Kadomtsev-Petviashvili equation with variable coefficients in fluid dynamics, J. Math. Anal. Appl., 502 (2021), Article ID 125198.
  • [5] J. Manafian, O. A. Ilhan, K. K. Ali, S. Abid, Cross-kink wave solutions and semi-inverse variational method for (3+ 1)-dimensional potential-YTSF equation, East Asian J. Appl. Math., 10 (2020), 549–65.
  • [6] H. F. Ismael, H. Bulut, H. M. Baskonus, W. Gao, Dynamical behaviors to the coupled Schr¨odinger-Boussinesq system with the beta derivative, AIMS Math., 6 (2021), 7909–28.
  • [7] K. K. Ali, R. Yilmazer, H. Bulut, T. Akt¨urk, M. S. Osman, Abundant exact solutions to the strain wave equation in micro-structured solids, Modern Phys. Lett. B, 35 (2021), Article ID 2150439.
  • [8] H. F. Ismael, A. Seadawy, H. Bulut, Multiple soliton, fusion, breather, lump, mixed kink-lump and periodic solutions to the extended shallow water wave model in (2+ 1)-dimensions,Modern Phys. Lett. B, 35 (2021), Article ID 2150138.
  • [9] J. G. Liu, W. H. Zhu, Y. He, Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients, Z. Angew. Math. Phys., 72 (2021), 1–12.
  • [10] W. X. Ma, T. Huang, Y. Zhang, A multiple exp-function method for nonlinear differential equations and its application, Phys. Scr., 82 (2010), Article ID 65003.
  • [11] H. M. Baskonus, New acoustic wave behaviors to the Davey–Stewartson equation with power-law nonlinearity arising in fluid dynamics, Nonlinear Dynam., (2016).
  • [12] Y. X. Li, E. Celik, J. L. Guirao, T. Saeed, H. M. Baskonus, On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive d-potential, Results Phys., 25 (2021)., Aertcle ID 104303.
  • [13] S. T. Demiray, H. Bulut, E. Celik, Soliton solutions of Wu-Zhang system by generalized Kudryashov method, AIP Conference Proceedings (2037), (2018), (020025).
  • [14] H. F. Ismael, H. Bulut, H. M. Baskonus, Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and (m+(G0=G))- expansion method, Pramana, 94 (2020), 1–9.
  • [15] E. Celik, H. Bulut, H. M. Baskonus, Novel features of the nonlinear model arising in nano-ionic currents throughout microtubules, Indian J. Phys., 92 (2018), 1137-1143.
  • [16] J.P. Fang, Q.B. Ren, C.L. Zheng, New exact solutions and fractal localized structures for the (2+1)-dimensional Boiti–Leon–Pempinelli system. Z. Naturforsch, 60 (2005), 245–251 .
  • [17] M. A. Dokuyucu, E. Celik, Analyzing a novel coronavirus model (COVID-19) in the sense of caputo-fabrizio fractional operator. Comput. Appl. Math., (2021), 49-69.
  • [18] H.F. Ismael, M. A. S. Murad, H. Bulut, Various exact wave solutions for KdV equation with time-variable coefficients, J. Ocean Eng. Sci., (2021).
  • [19] H. F. Ismael, H. Bulut, Nonlinear dynamics of (2+1)-dimensional Bogoyavlenskii-Schieff equation arising in plasma physics, Math. Methods Appl. Sci., 44(13) (2021), 10321-10330.
  • [20] H. F. Ismael, H. Bulut, Multi soliton solutions, M-lump waves and mixed soliton-lump solutions to the awada-Kotera equation in (2+ 1)-dimensions, Chinese J. Phys., 71 (2021), 54–61.
  • [21] F. Dusunceli, E. Celik, M. Askin, H. Bulut, New exact solutions for the doubly dispersive equation using the improved Bernoulli sub-equation function method, Indian J. Phys., 95 (2021) 309-314.
  • [22] X. Guan, W. Liu, Q. Zhou, A. Biswas, Darboux transformation and analytic solutions for a generalized super-NLS-mKdV equation, Nonlinear Dyn., 98 (2019), 1491–1500.
  • [23] K. K. Ali, R. Yilmazer, M. S. Osman, Extended Calogero-Bogoyavlenskii-Schff equation and its dynamical behaviors, Phys Scr., (2021).
  • [24] E. Date, M. Jimbo, M. Kashiwara, T. Miwa, Transformation groups for soliton equations: IV. A new hierarchy of soliton equations of KP-type, Phys. D., 4 (1982), 343–65.
  • [25] A. M. Wazwaz, A (2+ 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation: Painlev´e integrability and multiple soliton solutions, Comput. Math. Appl., 79 (2020), 1145–9.
  • [26] H. F. Ismael, A. Seadawy, H. Bulut, Rational solutions, and the interaction solutions to the (2+ 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation, Int. J. Comput. Math., 9812 (2021), 2369–2377.
  • [27] A. W. Wazwaz, New (3+ 1)-dimensional Date-Jimbo-Kashiwara-Miwa equations with constant and time-dependent coefficients: Painlev´e integrability, Phys. Lett. A, 384 (2020), 126787.
  • [28] H. Almusawa, K. K. Ali, A. M. Wazwaz, M. S. Mehanna, D. Baleanu , M.S. Osman, Protracted study on a real physical phenomenon generated by media inhomogeneities, Results Phys., 31 (2021), Article ID 104933.
  • [29] B. Ghanbari, C. K. Kuo, New exact wave solutions of the variable-coefficient (1+ 1)-dimensional Benjamin-Bona-Mahony and (2+ 1)-dimensional asymmetric Nizhnik-Novikov-Veselov equations via the generalized exponential rational function method, Eur. Phys. J. Plus, 134 (2019), 1–13.
  • [30] B. Ghanbari, Abundant soliton solutions for the Hirota–Maccari equation via the generalized exponential rational function method, Modern Phys. Lett. B, 33(9) (2019), 1950106.
  • [31] B. Ghanbari, M. Inc, A new generalized exponential rational function method to find exact special solutions for the resonance nonlinear Schr¨odinger equation Eur. Phys. J. Plus, 133(4) (2018).
  • [32] K. K. Ali, H. Dutta, R. Yilmazer, S. Noeiaghdam, On the new wave behaviors of the Gilson-Pickering equation, Front Phys., 8(2020).
There are 32 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Sıdıka Şule Şener 0000-0002-3807-7105

Publication Date December 27, 2021
Submission Date November 11, 2021
Acceptance Date December 21, 2021
Published in Issue Year 2021 Volume: 4 Issue: 3

Cite

APA Şener, S. Ş. (2021). New wave behaviors of the (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation. Journal of Mathematical Sciences and Modelling, 4(3), 126-132. https://doi.org/10.33187/jmsm.1022320
AMA Şener SŞ. New wave behaviors of the (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation. Journal of Mathematical Sciences and Modelling. December 2021;4(3):126-132. doi:10.33187/jmsm.1022320
Chicago Şener, Sıdıka Şule. “New Wave Behaviors of the (3+1)-Dimensional Date-Jimbo-Kashiwara-Miwa Equation”. Journal of Mathematical Sciences and Modelling 4, no. 3 (December 2021): 126-32. https://doi.org/10.33187/jmsm.1022320.
EndNote Şener SŞ (December 1, 2021) New wave behaviors of the (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation. Journal of Mathematical Sciences and Modelling 4 3 126–132.
IEEE S. Ş. Şener, “New wave behaviors of the (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation”, Journal of Mathematical Sciences and Modelling, vol. 4, no. 3, pp. 126–132, 2021, doi: 10.33187/jmsm.1022320.
ISNAD Şener, Sıdıka Şule. “New Wave Behaviors of the (3+1)-Dimensional Date-Jimbo-Kashiwara-Miwa Equation”. Journal of Mathematical Sciences and Modelling 4/3 (December 2021), 126-132. https://doi.org/10.33187/jmsm.1022320.
JAMA Şener SŞ. New wave behaviors of the (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation. Journal of Mathematical Sciences and Modelling. 2021;4:126–132.
MLA Şener, Sıdıka Şule. “New Wave Behaviors of the (3+1)-Dimensional Date-Jimbo-Kashiwara-Miwa Equation”. Journal of Mathematical Sciences and Modelling, vol. 4, no. 3, 2021, pp. 126-32, doi:10.33187/jmsm.1022320.
Vancouver Şener SŞ. New wave behaviors of the (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation. Journal of Mathematical Sciences and Modelling. 2021;4(3):126-32.

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