𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Periodic traveling wave solutions of a set of coupled Boussinesq-like equations

✍ 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

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Solitary wave solutions to a system of B
✍ Peter L. Christiansen; Virginia Muto; Salvatore Rionero πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 263 KB

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

Exact traveling wave solutions of the Bo
✍ Mohammed Khalfallah πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 363 KB

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

The Existence of Many Periodic Non-trave
✍ Annalisa Crannell πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 523 KB

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

Existence of periodic traveling wave sol
✍ Naoyuki Ishimura; Tetsu Mizumachi πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 82 KB πŸ‘ 2 views

## 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