Construction of new exact rational form non-travelling wave solutions to the \((2+1)\)-dimensional generalized Broer-Kaup system
From MaRDI portal
Publication:609263
DOI10.1016/j.amc.2009.05.058zbMath1203.35248OpenAlexW2029821739MaRDI QIDQ609263
Publication date: 30 November 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.058
symbolic computation\((2+1)\)-dimensional generalized Broer-Kaup systemimproved mapping approachvariable separation method
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Soliton solutions (35C08) Polynomial solutions to PDEs (35C11)
Related Items
Dynamical behaviors to the coupled Schrödinger-Boussinesq system with the beta derivative ⋮ N-solitons, lump solution and interaction phenomenon to the Boussinesq equation ⋮ Novel soliton interaction behaviours in the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system ⋮ Travelling wave solutions of Drinfel'd-Sokolov-Wilson, Whitham-Broer-Kaup and \((2+1)\)-dimensional Broer-Kaup-Kupershmit equations and their applications ⋮ Soliton solutions, travelling wave solutions and conserved quantities for a three-dimensional soliton equation in plasma physics ⋮ M-lump waves and their interactions with multi-soliton solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation ⋮ Solitary wave solutions of \((3+1)\)-dimensional extended Zakharov-Kuznetsov equation by Lie symmetry approach ⋮ Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation ⋮ Fission and fusion interaction phenomena of the \((2+1)\)-dimensional dispersive long wave equations ⋮ Optical soliton and elliptic functions solutions of Sasa-Satsuma dynamical equation and its applications
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- New exact solutions and fractal patterns of generalized Broer-Kaup system via a mapping approach
- New exact solutions for the \((2 + 1)\)-dimensional generalized Broer-Kaup system
- A modified variable-coefficient projective Riccati equation method and its application to \((2 + 1)\)-dimensional simplified generalized Broer-Kaup system
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Variable-coefficient projective Riccati equation method and its application to a new (2 + 1)-dimensional simplified generalized Broer-Kaup system
- New variable separation excitations of \((2+1)\)-dimensional dispersive long-water wave system obtained by an extended mapping approach
- Solitary wave solutions for variant Boussinesq equations
- A simple transformation for nonlinear waves.
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- Quasi-periodic and non-periodic waves in the (2 + 1)-dimensional generalized Broer-Kaup system
- Exact solution and semifolded structures of generalized Broer-Kaup system in \((2+1)\)-dimensions
- Fission, fusion and annihilation in the interaction of localized structures for the \((2 + 1)\)-dimensional generalized Broer-Kaup system
- Infinitely many Lax pairs and symmetry constraints of the KP equation
- New Exact Solutions and Localized Structures for (3+1)-Dimensional Burgers System
- Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices