Rational and complexiton solutions of the \((3+1)\)-dimensional KP equation
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Publication:355022
DOI10.1007/S11071-012-0738-YzbMath1268.37082OpenAlexW2044130262MaRDI QIDQ355022
Jian-Ya Ge, Li Cheng, Zi-Shuang Tong, Yi Zhang
Publication date: 22 July 2013
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-012-0738-y
rational solutionscomplexiton solutionsdouble Wronskian solutionthe \((3+1)\)-dimensional KP equation
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton solutions (35C08)
Related Items (3)
Wronskian and linear superposition solutions to generalized KP and BKP equations ⋮ Lax pair and lump solutions for the \((2+1)\)-dimensional DJKM equation associated with bilinear Bäcklund transformations ⋮ New explicit and exact traveling wave solutions of \((3+1)\)-dimensional KP equation
Cites Work
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- Extended double Wronskian solutions to the Whitham-Broer-Kaup equations in shallow water
- Solitonic interactions, Darboux transformation and double Wronskian solutions for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas
- Linear superposition principle applying to Hirota bilinear equations
- Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation
- Comment on the \(3+1\) dimensional Kadomtsev-Petviashvili equations
- A second Wronskian formulation of the Boussinesq equation
- Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation
- Complexiton solutions to the Korteweg-de Vries equation
- Rational solutions of the Toda lattice equation in Casoratian form
- New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation
- The decomposition method for solving (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation
- Generalized Wronskian solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
- Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water
- Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant
- New double Wronskian solutions of the AKNS equation
- Method for Solving the Korteweg-deVries Equation
- THE DOUBLE WRONSKIAN SOLUTIONS TO THE KADOMTSET–PETVIASHVILI EQUATION
- Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
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