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Exact solutions for a class of Boussinesq equation. (English) Zbl 1177.35183

Summary: Based on a new projective Riccati equations approach and Maple software, a class of nonlinear evolution equation, i.e. Boussinesq equation, is discussed in this paper. Some new explicit and exact solutions are obtained, such as solitary-wave-like solutions and periodic-like solutions etc. What’s more, most of the solutions are scarcely seen in the recent research.

MSC:

35Q51 Soliton equations
35Q35 PDEs in connection with fluid mechanics
35A24 Methods of ordinary differential equations applied to PDEs
35C08 Soliton solutions
35B10 Periodic solutions to PDEs

Software:

Maple
PDFBibTeX XMLCite
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