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Zbl 1212.35384
Fu, Haiming; Dai, Zhengde
Periodic soliton wave solutions for two-dimension S-K equation. (Chinese. English summary)
[J] J. Xuzhou Norm. Univ., Nat. Sci. 27, No. 4, 19-21 (2009). ISSN 1007-6573

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.
MSC 2000:
*35Q51 Solitons
35G25 Initial value problems for nonlinear higher-order PDE

Keywords: two-dimension Sawaka-Kotera equation; Hirota method; exact solution

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