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International Journal of Computer Mathematics Volume 97, 2020 - Issue 11
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Original Articles

Dynamics of kink solitary waves and lump waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation

Hui WangSchool of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of ChinaCorrespondence[email protected]
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Shou-Fu TianSchool of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of ChinaCorrespondence[email protected]
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Yi ChenSchool of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of ChinaView further author information
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Tian-Tian ZhangSchool of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of ChinaCorrespondence[email protected]
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Pages 2178-2190 | Received 02 Jun 2019, Accepted 20 Oct 2019, Published online: 06 Nov 2019

Citations (12)

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Xiao Man Tan & Zhaqilao. (2021) Three wave mixing effect in the (2+1)-dimensional Ito equation. International Journal of Computer Mathematics 98:10, pages 1921-1934.
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Wei Tan. (2021) Some new dynamical behaviour of double breathers and lump-N-solitons for the Ito equation. International Journal of Computer Mathematics 98:5, pages 961-974.
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Articles from other publishers (10)

Sibel Tarla, Karmina K. Ali, Abdullahi Yusuf & Resat Yilmazer. (2023) Applications of the generalized nonlinear evolution equation with symbolic computation approach. Modern Physics Letters B 37:24.
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Shao-Wen Yao, Md Nuruzzaman, Dipankar Kumar, Nishat Tamanna & Mustafa Inc. (2023) Lump solutions to an integrable (3 + 1)-dimensional Boussinesq equation and its dimensionally reduced equations in shallow water. Results in Physics 45, pages 106226.
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Longxing Li, Zhengde Dai & Bitao Cheng. (2022) Degeneration of N-soliton solutions for a ($$3+1$$)-dimensional nonlinear model in shallow water waves. Nonlinear Dynamics 111:2, pages 1667-1683.
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Shan Yu & Lin Huang. (2022) Exact solutions of the generalized -dimensional shallow water wave equation . Results in Physics 42, pages 106020.
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Long-Xing Li & Zheng-De Dai. (2022) Degeneration of solitons for a (2+1)-dimensional BBMB equation in nonlinear dispersive media. Nonlinear Dynamics 109:4, pages 2949-2967.
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Long-Xing Li. (2022) Degeneration of solitons for a ($$3+1$$)-dimensional generalized nonlinear evolution equation for shallow water waves. Nonlinear Dynamics 108:2, pages 1627-1640.
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Long-Xing Li. (2022) Evolution behaviour of kink breathers and lump-$$\pmb {M}$$-solitons ($$\pmb {M\rightarrow \infty }$$) for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation. Nonlinear Dynamics 107:4, pages 3779-3790.
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Shrouk Wael, Aly R. Seadawy, Salah M. Moawad & Omar H. El‐Kalaawy. (2021) Bilinear Bäcklund transformation, N ‐soliton, and infinite conservation laws for Lax–Kadomtsev–Petviashvili and generalized Korteweg–de Vries equations . Mathematical Methods in the Applied Sciences 44:14, pages 11591-11612.
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M.M. Alsuyuti, E.H. Doha, S.S. Ezz-Eldien & I.K. Youssef. (2021) Spectral Galerkin schemes for a class of multi-order fractional pantograph equations. Journal of Computational and Applied Mathematics 384, pages 113157.
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Ahmed S. Hendy & Mahmoud A. Zaky. (2020) Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations. Applied Numerical Mathematics 156, pages 276-302.
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