Numerical study for soliton solutions of some nonlinear evolution equations

Abstract

In this paper, the modified regularized long wave, the equal width and the modified equal width equations are solved by the Adomian decomposition method (ADM). We prove the convergence of ADM applied to the these equations. The numerical results show that our present method is more reliable and accurate than other numerical methods.

Keywords:

• Adomian decomposition method
• Schwartz inequality
• Adomian polynomials
• Soliton solution