Abstract
We consider a combined Korteweg-deVries and Boussinesq equation governing long surface waves in shallow water. Considering traveling wave solutions, the basic equations will be reduced to a second order ordinary differential equation. Using the Lie group of transformations we reduce it to a first order ordinary differential equation and employ a direct method to derive its periodic solutions in terms of Jacobian elliptic functions and their corresponding solitary wave and explode decay mode solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 99-105 |
| Number of pages | 7 |
| Journal | Czechoslovak Journal of Physics |
| Volume | 53 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Feb 2003 |
Keywords
- Explode decay mode solutions
- Jacobian elliptic functions
- KdV-Boussinesq equation
- Solitary wave solutions
- Travelling wave solutions
ASJC Scopus subject areas
- Physics and Astronomy(all)