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International Journal of Computer Mathematics Volume 97, 2020 - Issue 12
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Original Articles

Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics

Meng Wanga State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, ChinaView further author information
,
Bo Tiana State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, ChinaCorrespondence[email protected]
View further author information
,
Qi-Xing Qub School of Information, University of International Business and Economics, Beijing, ChinaView further author information
,
Xue-Hui Zhaoa State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, ChinaView further author information
,
Ze Zhanga State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, ChinaView further author information
&
He-Yuan Tiana State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, ChinaView further author information
Pages 2474-2486 | Received 25 Sep 2019, Accepted 08 Dec 2019, Published online: 03 Jan 2020

Citations (27)

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Dipankar Kumar, Irfan Raju, Gour Chandra Paul, Md. Emran Ali & Md. Dalim Haque. (2022) Characteristics of lump-kink and their fission-fusion interactions, rogue, and breather wave solutions for a (3+1)-dimensional generalized shallow water equation. International Journal of Computer Mathematics 99:4, pages 714-736.
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Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) Oceanic long-gravity-water-wave investigations on a variable-coefficient nonlinear dispersive-wave system. Waves in Random and Complex Media 0:0, pages 1-17.
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Articles from other publishers (25)

Yexuan Feng & Zhonglong Zhao. (2024) Three-wave lump solutions and their dynamic behaviors for the (3+1)-dimensional constant-coefficient and variable-coeffcient differential equations. Physica Scripta 99:3, pages 035215.
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Wenxia Chen, Liangping Tang & Lixin Tian. (2023) Lump, breather and interaction solutions to the (3+1)-dimensional generalized Camassa–Holm Kadomtsev–Petviashvili equation. Journal of Mathematical Analysis and Applications 526:2, pages 127275.
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Yujie Sun, Jiaojiao Wu & Biao Li. (2023) Rogue wave solutions of (3+1)-dimensional Kadomtsev-Petviashvili equation by a direct limit method. Communications in Theoretical Physics 75:6, pages 065002.
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Muhammad Abubakar Isah & Asıf Yokus. (2023) Rogue waves and Stability Analysis of the new (2+1)-KdV Equation Based on Symbolic Computation Method via Hirota Bilinear Form. Rogue waves and Stability Analysis of the new (2+1)-KdV Equation Based on Symbolic Computation Method via Hirota Bilinear Form.
Xin-Yi Gao, Yong-Jiang Guo, Wen-Rui Shan & Tian-Yu Zhou. (2022) Singular manifold, auto-Bäcklund transformations and symbolic-computation steps with solitons for an extended three-coupled Korteweg-de Vries system. International Journal of Geometric Methods in Modern Physics 19:14.
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Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) Bilinear Auto-Bäcklund Transformations and Similarity Reductions for a (3+1)-dimensional Generalized Yu-Toda-Sasa-Fukuyama System in Fluid Mechanics and Lattice Dynamics. Qualitative Theory of Dynamical Systems 21:4.
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Xiao-Tian Gao, Bo Tian, Yuan Shen & Chun-Hui Feng. (2022) Considering the Shallow Water of a Wide Channel or an Open Sea Through a Generalized (2+1)-dimensional Dispersive Long-wave System. Qualitative Theory of Dynamical Systems 21:4.
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Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an Extended ($$2+1$$)-Dimensional Coupled Burgers System in Fluid Mechanics. Qualitative Theory of Dynamical Systems 21:3.
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Tian-Yu Zhou, Bo Tian, Chen-Rong Zhang & Shao-Hua Liu. (2022) Auto-Bäcklund transformations, bilinear forms, multiple-soliton, quasi-soliton and hybrid solutions of a (3+1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in an electron-positron plasma. The European Physical Journal Plus 137:8.
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Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics. Chaos, Solitons & Fractals 161, pages 112293.
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Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) Similarity reductions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev–Petviashvili equation in fluid dynamics. Chinese Journal of Physics 77, pages 2707-2712.
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Yuan Shen, Bo Tian & Xiao-Tian Gao. (2022) Bilinear auto-Bäcklund transformation, soliton and periodic-wave solutions for a (2+1)-dimensional generalized Kadomtsev–Petviashvili system in fluid mechanics and plasma physics. Chinese Journal of Physics 77, pages 2698-2706.
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) In nonlinear optics, fluid mechanics, plasma physics or atmospheric science: symbolic computation on a generalized variable-coefficient Korteweg-de Vries equation. Acta Mathematicae Applicatae Sinica, English Series.
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Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) In nonlinear optics, fluid mechanics, plasma physics or atmospheric science: symbolic computation on a generalized variable-coefficient Korteweg-de Vries equation. Acta Mathematica Sinica, English Series.
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Yuan Shen, Bo Tian, Tian-Yu Zhou & Xiao-Tian Gao. (2022) Shallow-water-wave studies on a (2 + 1)-dimensional Hirota–Satsuma–Ito system: X-type soliton, resonant Y-type soliton and hybrid solutions. Chaos, Solitons & Fractals 157, pages 111861.
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Xin-Yi Gao, Yong-Jiang Guo, Wen-Rui Shan, Hui-Min Yin, Xia-Xia Du & Dan-Yu Yang. (2022) Certain electromagnetic waves in a ferromagnetic film. Communications in Nonlinear Science and Numerical Simulation 105, pages 106066.
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Tian-Yu Zhou, Bo Tian, Su-Su Chen, Cheng-Cheng Wei & Yu-Qi Chen. (2021) Bäcklund transformations, Lax pair and solutions of a Sharma-Tasso-Olver-Burgers equation for the nonlinear dispersive waves. Modern Physics Letters B 35:35.
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Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Comment on ‘Study of lump solutions to an extended Calogero-Bogoyavlenskii-Schiff equation involving three fourth-order terms’ (2020 Phys. Scr. 95 095207). Physica Scripta 96:12, pages 127001.
Crossref
Yuan Shen, Bo Tian, Chong-Dong Cheng & Tian-Yu Zhou. (2021) Bilinear auto-Bäcklund transformation, breather-wave and periodic-wave solutions for a (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. The European Physical Journal Plus 136:11.
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Symbolic computation on the long gravity water waves: scaling transformations, bilinear forms, -soliton solutions and auto-Bäcklund transformation for a variable-coefficient variant Boussinesq system . Chaos, Solitons & Fractals 152, pages 111392.
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Hetero-Bäcklund Transformation, Bilinear Forms and N Solitons for a Generalized Three-Coupled Korteweg-de Vries System. Qualitative Theory of Dynamical Systems 20:3.
Crossref
Xiao-Tian Gao, Bo Tian, Yuan Shen & Chun-Hui Feng. (2021) Comment on “Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized ( )-dimensional dispersive long-wave system” . Chaos, Solitons & Fractals 151, pages 111222.
Crossref
Xin-yi Gao, Yong-jiang Guo, Wen-rui Shan, Tian-yu Zhou, Meng Wang & Dan-yu Yang. (2021) In the Atmosphere and Oceanic Fluids: Scaling Transformations, Bilinear Forms, Bäcklund Transformations and Solitons for A Generalized Variable-Coefficient Korteweg-de Vries-Modified Korteweg-de Vries Equation. China Ocean Engineering 35:4, pages 518-530.
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Comment on “Bilinear Bäcklund transformation, soliton and periodic wave solutions for a (3+1)-dimensional variable-coefficient generalized shallow water wave equation” (Nonlinear Dyn. 87, 2529, 2017). Nonlinear Dynamics 105:4, pages 3849-3858.
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Looking at an open sea via a generalized $$(2+1)$$-dimensional dispersive long-wave system for the shallow water: scaling transformations, hetero-Bäcklund transformations, bilinear forms and N solitons. The European Physical Journal Plus 136:8.
Crossref

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