A set of coupled Boussinesq-like equations arise in the continuum limit of a Toda lattice performing longitudinal and transversal motion. The cases of quartic and cubic approximations of the Toda potential are considered. In the latter case new solitary wave solutions are obtained by means of a gene
Periodic traveling wave solutions of a set of coupled Boussinesq-like equations
β Scribed by V. Muto; P.L. Christiansen; P.S. Lomdahl
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 228 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
The extended homogeneous balance method is used to construct exact traveling wave solutions of the Boussinesq-Burgers equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation. Many exact traveling wave solutio
This paper uses variational methods in particular, a generalization of the Mountain Pass Lemma of Rabinowitz together with an invariance argument to demonstrate the existence of (weak Sobolev) periodic, non-travelling solutions to the Boussinesq equation
## Abstract We are concerned with the Ostrovsky equation, which is derived from the theory of weakly nonlinear long surface and internal waves in shallow water under the presence of rotation. On the basis of the variational method, we show the existence of periodic traveling wave solutions. Copyrig