The Jacobi elliptic function solutions to a generalized Benjamin-Bona-Mahony equation

Authors:
Shaoyong Lai;Xiumei Lv;Mingyou Shuai
Affiliations:
Department of Economic Mathematics, Southwestern University of Finance and Economics, 610074, Chengdu, China;Department of Economic Mathematics, Southwestern University of Finance and Economics, 610074, Chengdu, China;China Baicheng Ordinance Test Center, 137001, Baicheng, Jinlin, China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2009

Citing 5
Cited 1

An approximation of the analytic solution of the shock wave equation

Journal of Computational and Applied Mathematics
Galerkin method for the numerical solution of the RLW equation using quintic B-splines

Journal of Computational and Applied Mathematics
Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity

Mathematical and Computer Modelling: An International Journal
Compactons in a class of nonlinear dispersive equations

Mathematical and Computer Modelling: An International Journal
A sine-cosine method for handlingnonlinear wave equations

Mathematical and Computer Modelling: An International Journal

Explicit and exact solutions to cubic Duffing and double-well Duffing equations

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

Mathematical techniques based on an auxiliary equation and the symbolic computation system Matlab are employed to investigate a generalized Benjamin-Bona-Mahony partial differential equation. The Jacobi elliptic function solutions, the degenerated soliton solutions and the triangle function solutions to the equation are obtained under certain circumstances.