Exact Solutions of Space Dependent Korteweg-de Vries Equation by The Extended Unified Method

Exact Solutions of Space Dependent Korteweg-de Vries Equation by The Extended Unified Method

Recently the unified method for finding traveling wave solutions of nonlinear evolution equations was proposed by one of the authors (HIAG). It was shown that, this method unifies all the methods being used to find these solutions. In this paper, we extend this method to find a class of formal exact...

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Veröffentlicht in:Journal of the Physical Society of Japan 2013-04, Vol.82 (4), p.1-1
Hauptverfasser: Abdel-Gawad, Hamdy I, Elazab, Nasser S, Osman, Mohamed
Format: Artikel
Sprache:eng
Schlagworte:
Exact solutions
Mathematical analysis
Nonlinear equations
Nonlinear evolution equations
Physics
Traveling waves
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Zusammenfassung:Recently the unified method for finding traveling wave solutions of nonlinear evolution equations was proposed by one of the authors (HIAG). It was shown that, this method unifies all the methods being used to find these solutions. In this paper, we extend this method to find a class of formal exact solutions to Korteweg-de Vries equation with space dependent coefficients.
ISSN:0031-9015
1347-4073