Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
756155 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 8 Pages |
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.
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Authors
Dianchen Lu, Baojian Hong, Lixin Tian,