Article ID Journal Published Year Pages File Type
756155 Communications in Nonlinear Science and Numerical Simulation 2009 8 Pages PDF
Abstract

In this paper, we first introduced improved projective Riccati method by means of two simplified Riccati equations. Applying the improved method, we consider the general types of KdV and KdV–Burgers equations with nonlinear terms of any order. As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions are obtained. Some of them are found for the first time.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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