Solitary wave solutions of the CMKdV equation by using the quintic B-spline collocation method
PHYSICA SCRIPTA, vol.77, no.6, 2008 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 77 Issue: 6
- Publication Date: 2008
- Doi Number: 10.1088/0031-8949/77/06/065001
- Journal Name: PHYSICA SCRIPTA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
In this paper, the method based on the collocation method with quintic B-spline finite elements is set up to simulate the solitary wave solution of the complex modified Korteweg-de Vries (CMKdV) equation. The Crank-Nicolson central differencing scheme has been used for the time integration and quintic B-spline functions have been used for the space integration. Propagation of the solitary wave and the interaction of two solitary waves are studied.