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

IRK D., Dag İ.

PHYSICA SCRIPTA, cilt.77, sa.6, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 77 Sayı: 6
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1088/0031-8949/77/06/065001
  • Dergi Adı: PHYSICA SCRIPTA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.