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New exact solitary-wave solutions for the $$K(2, 2, 1)$$ and $$K(3, 3, 1)$$ equations. (English) Zbl 1137.35427
Summary: $$K(2, 2, 1)$$ equation: $$u_t + (u^{2})_x - (u^{2})_{xxx} + u_{5x} = 0$$ and $$K(3, 3, 1)$$ equation: $$u_t + (u^{3})_x - (u^{3})_{xxx} + u_{5x} = 0$$ are investigated. New exact solitary solutions are developed by using the decomposition method and the symbolic computation system Maple.

##### MSC:
 35Q53 KdV equations (Korteweg-de Vries equations) 35Q51 Soliton equations 35-04 Software, source code, etc. for problems pertaining to partial differential equations
Maple
Full Text:
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