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Exact soliton solutions for the fifth-order Sawada-Kotera equation. (English) Zbl 1163.35475

Summary: Exact soliton solutions for the fifth-order Sawada-Kotera equation are obtained by using the Hirota bilinear method. These solutions include one-soliton solutions, periodic two-soliton solutions and singular periodic soliton solutions. The results show that there exist periodic two-soliton solutions and singular periodic soliton solutions for the fifth-order Sawada-Kotera equation.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
35B10 Periodic solutions to PDEs
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