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New solitary wave and periodic wave solutions for general types of KdV and KdV–Burgers equations

✍ Scribed by Dianchen Lu; Baojian Hong; Lixin Tian

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
147 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

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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