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International Journal of Computer Mathematics Volume 96, 2019 - Issue 9
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Original Articles

Solitons to rogue waves transition, lump solutions and interaction solutions for the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation in fluid dynamics

Xue-Wei YanSchool of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of ChinaView further author information
,
Shou-Fu TianSchool of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of ChinaCorrespondence[email protected] [email protected]
View further author information
,
Xiu-Bin WangSchool of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of ChinaView further author information
&
Tian-Tian ZhangSchool of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of ChinaView further author information
Pages 1839-1848 | Received 05 Aug 2018, Accepted 08 Oct 2018, Published online: 20 Oct 2018

Citations (20)

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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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Xue-Wei Yan. (2021) A two-component modified Korteweg–de Vries equation: Riemann–Hilbert problem and multi-soliton solutions. International Journal of Computer Mathematics 98:3, pages 569-579.
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Hui Wang, Shou-Fu Tian, Yi Chen & Tian-Tian Zhang. (2020) Dynamics of kink solitary waves and lump waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation. International Journal of Computer Mathematics 97:11, pages 2178-2190.
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Articles from other publishers (16)

Wenying Cui, Yinping Liu & Zhibin Li. (2023) Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics. International Journal of Nonlinear Sciences and Numerical Simulation 24:6, pages 2217-2235.
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Shoukry El‐Ganaini & Mohammed O. Al‐Amr. (2022) New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations. Mathematical Methods in the Applied Sciences 45:11, pages 7200-7226.
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Xin Chen, Dan Zhao & Zhaqilao. (2022) Hybrid solutions of a (3 + 1)-dimensional generalized B-type Kadomtsev–Petviashvili equation. International Journal of Modern Physics B 36:16.
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Cong-Cong Hu, Bo Tian, Xia-Xia Du & Chen-Rong Zhang. (2022) Bright/dark breather-soliton, lump wave-soliton and rogue wave-soliton interactions for a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid mechanics. Nonlinear Dynamics 108:2, pages 1585-1598.
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Jiaxin Qi, Ziliang Li & Hongli An. (2021) Soliton molecules, asymmetric solitons and interactions with T-breathers/M-lumps of the (3+1)-dimensional KDKK equation. The European Physical Journal Plus 136:12.
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Hongyu Wu, Jinxi Fei & Wenxiu Ma. (2021) Lump and rational solutions for weakly coupled generalized Kadomtsev–Petviashvili equation. Modern Physics Letters B 35:26, pages 2150449.
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Yakup YILDIRIM & Emrullah YAŞAR. (2021) Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation. Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 70:1, pages 382-396.
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Shou-Fu Tian, Xiao-Fei Wang, Tian-Tian Zhang & Wang-Hua Qiu. (2021) Stability analysis, solitary wave and explicit power series solutions of a (2 + 1)-dimensional nonlinear Schrödinger equation in a multicomponent plasma. International Journal of Numerical Methods for Heat & Fluid Flow 31:5, pages 1732-1748.
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Tukur Abdulkadir Sulaiman, Abdullahi Yusuf, S. Abdel-Khalek, Mustafa Bayram & Hijaz Ahmad. (2020) Nonautonomous complex wave solutions to the (2+1)-dimensional variable-coefficients nonlinear Chiral Schrödinger equation. Results in Physics 19, pages 103604.
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Bushra Younas & Muhammad Younis. (2019) Chirped solitons in optical monomode fibres modelled with Chen–Lee–Liu equation. Pramana 94:1.
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Behzad Ghanbari & Chun-Ku Kuo. (2020) A variety of solitary wave solutions to the (2+1)-dimensional bidirectional SK and variable-coefficient SK equations. Results in Physics 18, pages 103266.
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Xue-Wei Yan & Jiefang Zhang. (2020) Coupled cubic-quintic nonlinear Schrödinger equation: novel bright–dark rogue waves and dynamics. Nonlinear Dynamics 100:4, pages 3733-3743.
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Xue-Wei Yan. (2019) Generalized (3+1)-dimensional Boussinesq equation: Breathers, rogue waves and their dynamics. Modern Physics Letters B 34:01, pages 2050003.
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慧琴 徐. (2020) Lump Solution for Sawada-Kotera-Kadovtsev Petviashvili Equation. Advances in Applied Mathematics 09:07, pages 1084-1091.
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Hui Wang, Shou-Fu Tian, Tian-Tian Zhang & Yi Chen. (2020) THE BREATHER WAVE SOLUTIONS, M-LUMP SOLUTIONS AND SEMI-RATIONAL SOLUTIONS TO A (2+1)-DIMENSIONAL GENERALIZED KORTEWEG-DE VRIES EQUATION. Journal of Applied Analysis & Computation 10:1, pages 118-130.
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Hui Wang, Shou-Fu Tian, Tian-Tian Zhang, Yi Chen & Yong Fang. (2019) General lump solutions, lumpoff solutions, and rogue wave solutions with predictability for the (2+1)-dimensional Korteweg-de Vries equation. Computational and Applied Mathematics 38:4.
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