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Existence and bifurcation of traveling wave solutions to a generalized Boussinesq equation with nonlinear dispersion.
- Source :
-
Mathematical Methods in the Applied Sciences . Apr2024, Vol. 47 Issue 6, p4840-4852. 13p. - Publication Year :
- 2024
-
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]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 176118861
- Full Text :
- https://doi.org/10.1002/mma.9841