Document Details Document Type : Article In Journal  Document Title : Solitary wave solutions for a coupled pair of mKdV equations Solitary wave solutions for a coupled pair of mKdV equations   Subject : Mthematics  Document Language : English  Abstract : Propagation of weakly nonlinear long waves is studied within the framework of a system of two coupled modified Korteweg-de Vries equations. We investigate analytically and numerically the various families of soliton states for the considered model. By scaling the functions and variables we find that the resulting coupled pair of equations has only one combined parameter. This parameter depends on the wave speed and the coupling coefficient. Explicit analytical expressions for both of the symmetric and antisymmetric states are determined. Numerical method is derived to solve the proposed system, many numerical tests have been conducted to study the behavior of the solution, and the existence of the asymmetric soliton states is displayed numerically.  ISSN : 00963003  Journal Name : Applied Mathematics and Computation  Volume : 0  Issue Number : 0  Publishing Year : 2009 AH 2009 AD  Number Of Pages : 9  Article Type : Article  Added Date : Tuesday, October 6, 2009  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email محمدسعيد يوسف حموده اسماعيل Ismail, M.S Researcher Doctorate msismail@kau.edu.sa - Triki, H Researcher Doctorate   Files File Name Type Description  23379.pdf pdf Abstract Back To Researches Page