Affiliation:
1. Department of Mathematics Nanchang University Nanchang 330031 China
2. Institute of Mathematics and Interdisciplinary Sciences Nanchang University Nanchang 330031 China
Abstract
This paper is devoted to the analytical study of traveling wave solutions to a generalized Boussinesq equation with nonlinear dispersion. Utilizing the bifurcation method of dynamical systems, the existence of compacton and peakon solutions are established. Under certain parameter conditions, the compacton and peakon solutions can be bifurcated by smooth periodic wave solutions, smooth solitary wave solutions, and singular cusp solutions. Numerical simulations are supplied to corroborate the analytical results. Some previous results are extended.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Jiangxi Province
Subject
General Engineering,General Mathematics
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