Numerical Estimation of Traveling Wave Solution of Two-Dimensional K-dV Equation Using a New Auxiliary Equation Method

Rezaul Karim, Abdul Alim, Laek Sazzad Andallah

Department of Mathematics, BUET, Dhaka, Bangladesh.
Department of Mathematics, Jagannath University, Dhaka, Bangladesh.
Department of Mathematics, Jahangirnagar University, Savar, Bangladesh.

DOI: 10.4236/ajcm.2013.31004                

Abstract

Korteweg de-Vries (K-dV) has wide applications in physics, engineering and fluid mechanics. In this the Korteweg de-Vries equation with traveling solitary waves and numerical estimation of analytic solutions have been studied. We have found some exact traveling wave solutions with relevant physical parameters using new auxiliary equation method introduced by PANG, BIAN and CHAO. We have solved the set of exact traveling wave solution analytically. Some numerical results of time dependent wave solutions have been presented graphically and discussed. This procedure has a potential to be used in more complex system of many types of K-dV equation.

Keywords

Contor; Propagation; Soliton Periodic; Time Evolution

Conflicts of Interest

The authors declare no conflicts of interest.

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