Title of article
On “new travelling wave solutions” of the KdV and the KdV–Burgers equations
Author/Authors
Kudryashov، نويسنده , , Nikolai A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
10
From page
1891
To page
1900
Abstract
The Korteweg-de Vries and the Korteweg-de Vries–Burgers equations are considered. Using the travelling wave the general solutions of these equations are presented. “New travelling wave solutions” of the KdV and the KdV–Burgers equations by Wazzan [Wazzan L. Commun Nonlinear Sci Numer Simulat 2009;14:443–50] are analyzed. We demonstrate that all his solutions are not new and are transformed to known solutions.
Keywords
nonlinear evolution equation , Korteweg-de Vries equation , General Solution , Korteweg-de Vries–Burgers equation , Exact solution , travelling wave
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2009
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1534288
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