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.
C1 [Bashan, Ali] Bulent Ecevit Univ, Fac Sci & Art, Dept Math, TR-67100 Zonguldak, Turkey.
[Ucar, Yusuf; Yagmurlu, N. Murat; Esen, Alaattin] Inonu Univ, Fac Sci & Art, Dept Math, TR-44200 Malatya, Turkey.