Nonlinear dynamic behaviors of the generalized (3+1)‐dimensional KP equation
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Publication:6152398
DOI10.1002/zamm.202000168MaRDI QIDQ6152398
Xiao-Jun Yang, Ping Cui, Jian-Gen Liu, Yi-Ying Feng
Publication date: 11 March 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Solitary waves for incompressible inviscid fluids (76B25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
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Cites Work
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- Interaction between kink solitary wave and rogue wave for \((2+1)\)-dimensional Burgers equation
- Linear superposition principle applying to Hirota bilinear equations
- Kadomtsev-Petviashvili equation in relativistic fluid dynamics
- State transition of lump-type waves for the \((2+1)\)-dimensional generalized KdV equation
- Lie symmetry analysis and exact solutions for the extended mKdV equation
- Darboux transformations of classical Boussinesq system and its new solutions
- New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation
- Fundamental analysis of the time fractional coupled Burgers-type equations
- On critical behaviour in generalized Kadomtsev-Petviashvili equations
- Resonant soliton and complexiton solutions for \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
- Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations
- Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations
- PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background
- General high-order localized waves to the Bogoyavlenskii-Kadomtsev-Petviashvili equation
- Localized waves and interaction solutions to a \((3+1)\)-dimensional generalized KP equation
- Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
- Resonant multiple wave solutions for a \((3+1)\)-dimensional nonlinear evolution equation by linear superposition principle
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Unified Kadomtsev–Petviashvili equation
- Water waves and Korteweg–de Vries equations
- The unified Kadomtsev–Petviashvili equation for interfacial waves
- Study on the explicit solutions of the Benney–Luke equation via the variational direct method
- On integrability of the extended (3+1)‐dimensional Jimbo‐Miwa equation
- Exact envelope-soliton solutions of a nonlinear wave equation
