Exact Solutions of The Regularized Long-Wave Equation: The Hirota Direct Method Approach to Partially Integrable Equations

S. Suksai, U.W. Hamphries

Abstract

The Hirota direct method has been used to obtain analytic solutions of the regularized long-wave equation (nonlinear evolution and wave equations) which constructing the soliton (solitary) solution of the regularized long-wave equation (RLW) is presented. We considered a transformation of the RLW equation to the Hirota bilinear form and applied the Hirota perturbation to this equation. The obtained results are exact one-solitary wave solutions of RLW.