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Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation. (English) Zbl 0984.37092
Summary: We make use of an extended tanh-function method and symbolic computation to obtain respectively four kinds of soliton solutions for a new generalized Hirota-Satsuma coupled KdV equation and a new coupled MKdV equation, which were introduced recently by Y. Wu, X. Geng, X. Hu and S. Zhu [Phys. Lett., A 255, 259-264 (1999; Zbl 0935.37029)].

MSC:
37K40Soliton theory, asymptotic behavior of solutions
35Q53KdV-like (Korteweg-de Vries) equations
35C05Solutions of PDE in closed form