Periodic soliton wave solutions for two-dimension S-K equation. (Chinese. English summary) Zbl 1212.35384

Summary: Hirota method proposed recently is extended to construct more exact solutions of nonlinear evolution equations. To be more precise, new test function is used instead of test function in Hirota method. By using the extended Hirota method, the two-dimension Sawaka-Kotera equation is solved to get an abundance of exact mixed-solutions with periodic and hyperbolic functions. Obviously, the extended Hirota method can be applied to solve other type of nonlinear evolution equations as well.


35Q51 Soliton equations
35G25 Initial value problems for nonlinear higher-order PDEs