Title :
Solutions of a Generalized Complexly Coupled Korteweg-de Vries System Using Simplest Equation Method
Author :
Khalique, Chaudry Masood
Author_Institution :
Dept. of Math. Sci., North-West Univ., Mmabatho, South Africa
Abstract :
In this paper we study a generalized complexly coupled Korteweg-de Vries system that describes the interaction of two long waves, whose dispersion relations are different. Exact solutions are obtained for this system using Lie symmetry method along with the simplest equation method. The solutions obtained are travelling wave solutions.
Keywords :
Korteweg-de Vries equation; Lie algebras; dispersion relations; wave propagation; Lie symmetry method; dispersion relations; generalized complexly coupled Korteweg-de Vries system; travelling wave solutions; Differential equations; Dispersion; Educational institutions; Equations; Mathematical model; Solitons; Generalized complexly coupled Korteweg-de Vries system; Lie symmetries; simplest equation method;
Conference_Titel :
Computational Science and Computational Intelligence (CSCI), 2014 International Conference on
Conference_Location :
Las Vegas, NV
DOI :
10.1109/CSCI.2014.123
