Generalized method and new exact wave solutions for \((2 + 1)\)-dimensional Broer-Kaup-Kupershmidt system

DOI10.1016/j.amc.2006.08.082zbMath1114.65353OpenAlexW2067902797MaRDI QIDQ883862

Li Yin, Lina Song, Ying Wan, Hong-Qing Zhang

Publication date: 12 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.082

zbMATH Keywords

symbolic computationBroer-Kaup-Kupershmidt systemgeneralized elliptic equation rational expansion methodJacobi and Weierstrass double period solutionsrational formal solitary wave solutionsrational formal triangular periodic wave solutions

Mathematics Subject Classification ID

Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

A new general algebraic method and its applications to the (2+1)-dimensional Broer-Kaup-Kupershmidt equations, \(N\)-soliton solutions and localized structures for the \(2+1\)-dimensional Broer-Kaup-Kupershmidt system, Double Wronskian solutions to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation, Travelling wave solutions of nonlinear partial equations by using the first integral method, Computational wave solutions of generalized higher-order nonlinear Boussinesq dynamical wave equation, New exact solutions and modulation instability for the nonlinear \((2+1)\)-dimensional Davey-Stewartson system of equation

Uses Software

• WKPtest

Cites Work

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• An auto-Bäcklund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications
• An algorithmic method in Painlevé analysis of PDE
• Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple
• A (2 + 1)-dimensional integrable hierarchy and its extending integrable model
• Multi-order exact solutions of the complex Ginzburg-Landau equation
• Abundant coherent structures of the dispersive long-wave equation in \((2+1)\)-dimensional spaces.
• Explicit exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order.
• Soliton like and multi-soliton like solutions for the Boiti-Leon-Pempinelli equation
• A generalized method and general form solutions to the Whitham-Broer-Kaup equation
• A Burgers equation-based constructive method for solving nonlinear evolution equations
• The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations
• The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations
• The Exact Solutions of Some (2+1)-Dimensional Integrable Systems
• Similarity reductions of the KP equation by a direct method
• New similarity reductions of the Boussinesq equation
• Spectral transform for a two spatial dimension extension of the dispersive long wave equation
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• (2   1)-dimensional compacton solutions with and without completely elastic interaction properties
• The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited
• GENERALIZED EXTENDED TANH-FUNCTION METHOD TO CONSTRUCT NEW EXPLICIT EXACT SOLUTIONS FOR THE APPROXIMATE EQUATIONS FOR LONG WATER WAVES
• Modified extended tanh-function method for solving nonlinear partial differential equations
• Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics
• A new complex line soliton for the two-dimensional KdV-Burgers equation