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1. Existence and bifurcation of traveling wave solutions to a generalized Boussinesq equation with nonlinear dispersion.

Author

Zhu, Neng and Qu, Wenjing

Subjects
*BOUSSINESQ equations, *NONLINEAR equations, *DYNAMICAL systems, *DISPERSION (Chemistry), *NONLINEAR evolution equations, *COMPUTER simulation
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. [ABSTRACT FROM AUTHOR]

Published
2024
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