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New exact solutions for two generalized Hirota–Satsuma coupled KdV systems

✍ Scribed by Huiqun Zhang

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
156 KB
Volume
12
Category
Article
ISSN
1007-5704

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✦ Synopsis

By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact solutions for nonlinear evolution equations. By this method two generalized Hirota-Satsuma coupled KdV systems are investigated and new exact solutions are explicitly obtained with the aid of symbolic computation.

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On soliton solutions for a generalized Hirota–Satsuma coupled KdV equation
✍ A.S. Abdel Rady; E.S. Osman; Mohammed Khalfallah 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 229 KB

The extended homogeneous balance method is used to construct exact traveling wave solutions of a generalized Hirota-Satsuma coupled KdV equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. M