1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116085, China
;2. School of Naval Architecture and Ocean Engineering, Dalian University of Technology, Dalian 116085, China
Abstract:
In this paper, we apply homotopy analysis method
to solve discrete mKdV equation and successfully obtain the
bell-shaped solitary solution to mKdV equation. Comparison between
our solution and the exact solution shows that homotopy
analysis method is effective and validity in solving hybrid nonlinear
problems, including solitary solution of difference-differential
equation.