Title of article
New solitary wave and periodic wave solutions for general types of KdV and KdV–Burgers equations
Author/Authors
Lu، نويسنده , , Dianchen and Hong، نويسنده , , Baojian and Tian، نويسنده , , Lixin، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
8
From page
77
To page
84
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.
Keywords
Solitary wave solutions , Improved Riccati equations , Generalized KdV–Burgers equation , Periodic wave solutions , KdV equation
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2009
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1533943
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