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New solitons and kinks solutions to the Sharma-Tasso-Olver equation. (English) Zbl 1118.65113

Summary: The Sharma-Tasso-Olver equation is investigated. The tanh method, the extended tanh method, and other ansatze involving hyperbolic and exponential functions are efficiently used for analytic study of this equation. New solitons and kinks solutions are formally derived. The proposed schemes are reliable and manageable.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q51 Soliton equations
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