Exact solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota system by the analytical methods
Summary: 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.
scientific article; zbMATH DE number 7027202
scientific article