Representations and classification of traveling wave solutions to Sinh-Gördon equation
نویسنده
چکیده
Two concepts named atom solution and combinatory solution are defined. The classification of all single traveling wave atom solutions to Sinh-Gördon equation is obtained, and qualitative properties of solutions are discussed. In particular, we point out that some qualitative properties derived intuitively from dynamic system method aren’t true. In final, we prove that our solutions to Sinh-Gördon equation include all solutions obtained in the paper[Fu Z T et al, Commu. in Theor. Phys.(Beijing) 2006 45 55]. Through an example, we show how to give some new identities on Jacobian elliptic functions.
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