Numerical solution of the complex modified Korteweg-de Vries equation by DQM

BAŞHAN A., UÇAR Y., YAĞMURLU N. M., ESEN A.

International Conference on Quantum Science and Applications (ICQSA), Eskişehir, Türkiye, 25 - 27 Mayıs 2016, cilt.766 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 766
  • Doi Numarası: 10.1088/1742-6596/766/1/012028
  • Basıldığı Şehir: Eskişehir
  • Basıldığı Ülke: Türkiye
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, a method based on the differential quadrature method with quintic B-spline has been applied to simulate the solitary wave solution of the complex modified Kortewegde Vries equation (CMKdV). Three test problems, namely single solitary wave, interaction of two solitary waves and interaction of three solitary waves have been investigated. The efficiency and accuracy of the method have been measured by calculating maximum error norm L-infinity for single solitary waves having analytical solutions. Also, the three lowest conserved quantities and obtained numerical results have been compared with some of the published numerical results.