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Numerical Simulations of Complex Modified KdV Equation using Polynomial Differential Quadrature Method

Alper Korkmaz, Idris DAG

Abstract


Numerical solutions of the Complex modified KdV equation are studied. Differential quadrature method based on polynomials is used to discretize the equation in space. Time integration of the resultant equation is done using Runge-Kutta method of order four. In orderto test the efficiency of the method, propagation of single solitary wave and interaction two solitary waves are simulated. The error between the numerical solution and the analytical solution is

Keywords


Complex modified Korteweg-de Vries equation, Differential Quadrature Method, Solitary waves.

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