Different physical structures of solutions for a generalized Boussinesq wave equation

Authors:
Shaoyong Lai
Affiliations:
Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

A technique based on the reduction of order for solving differential equations is employed to investigate a generalized nonlinear Boussinesq wave equation. The compacton solutions, solitons, solitary pattern solutions, periodic solutions and algebraic travelling wave solutions for the equation are expressed analytically under several circumstances. The qualitative change in the physical structures of the solutions is highlighted.