Solitary wave solutions of the CMKdV equation by using the quintic B-spline collocation method

IRK D., Dag İ.

PHYSICA SCRIPTA, vol.77, no.6, 2008 (SCI-Expanded) identifier identifier

  • 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.