Symbolic computation of exact solutions for the compound KdV-Sawada-Kotera equation. (English) Zbl 1182.65163
Summary: The generalized F-expansion method is applied to construct the exact solutions of the compound Korteweg-de Vries-Sawada-Kotera equation by the aid of the symbolic computation system Maple. Some new exact solutions which include Jacobi elliptic function solutions, soliton solutions and triangular periodic solutions are obtained via this method.
MSC:
65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |
35Q53 | KdV equations (Korteweg-de Vries equations) |
68W30 | Symbolic computation and algebraic computation |
35Q51 | Soliton equations |
Keywords:
generalized F-expansion method; soliton solution; symbolic computation; exact solutions of the compound Korteweg-de Vries-Sawada-Kotera equation; Jacobi elliptic function solutions; triangular periodic solutionsReferences:
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