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Exact Solutions for the Integrable Sixth-Order Drinfeld-Sokolov-Satsuma-Hirota System by the Analytical Methods
Jalil Manafian Heris1, Mehrdad Lakestani1
1Department of Applied Mathematics, Faculty of Mathematics Science, University of Tabriz, 29 Bahman Boulevard, Tabriz 5166616471, Iran.
Abstract:
We establish exact solutions including periodic wave and solitary wave solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota system. We employ this system by using a generalized (G'/G)-expansion and the generalized tanh-coth methods. These methods are developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that these methods, with the help of symbolic computation, provide a straightforward and powerful mathematical tool for solving nonlinear partial differential equations.
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