Painlevé analysis, Bäcklund transformations and traveling-wave solutions for a (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation in a fluid
From MaRDI portal
Publication:4994880
DOI10.1142/S0217979221501083zbMath1462.35338MaRDI QIDQ4994880
Bo Tian, Qi-Xing Qu, Yu-Qi Chen, Yong-Xin Ma, Dan-Yu Yang
Publication date: 22 June 2021
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
traveling wavesBäcklund transformationsPainlevé analysisfluid\((3 + 1)\)-dimensional generalized Kadomtsev-Petviashvili equation
KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Traveling wave solutions (35C07)
Related Items
BÄCKLUND TRANSFORMATION AND DIVERSE EXACT EXPLICIT SOLUTIONS OF THE FRACTAL COMBINED KdV–mKdV EQUATION ⋮ Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics ⋮ Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain ⋮ N-SOLITON, BREATHER, LUMP SOLUTIONS AND DIVERSE TRAVELING WAVE SOLUTIONS OF THE FRACTIONAL (2 + 1)-DIMENSIONAL BOUSSINESQ EQUATION ⋮ Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system ⋮ Certain electromagnetic waves in a ferromagnetic film ⋮ Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber
Cites Work
- Unnamed Item
- Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
- Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows
- Bäcklund transformation of variable-coefficient Boiti-Leon-Manna-Pempinelli equation
- Beak-shaped rogue waves for a higher-order coupled nonlinear Schrödinger system with \(4 \times 4\) Lax pair
- Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system
- Water-wave symbolic computation for the Earth, Enceladus and Titan: the higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations
- Interactions of solitons for a generalized nonlinear Schrödinger equation from the inhomogeneous Heisenberg ferromagnetic spin system
- Solitary wave solutions of \((3+1)\)-dimensional extended Zakharov-Kuznetsov equation by Lie symmetry approach
- Nonlocal modified KdV equations and their soliton solutions by Hirota method
- Degeneration of breathers in the Kadomttsev-Petviashvili I equation
- Inverse scattering transformation for generalized nonlinear Schrödinger equation
- Lump solutions to the Kadomtsev-Petviashvili equation
- On the Quasi-Periodic Wave Solutions and Asymptotic Analysis to a (3+1)-Dimensional Generalized Kadomtsev—Petviashvili Equation
- The Painlevé property for partial differential equations
