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Traveling-wave solutions of the generalized Zakharov equation with time-space fractional derivatives. (English) Zbl 1305.35011

Summary: In this paper, we implement a Functional Variable Method (FVM) for extracting various kind of exact traveling wave solutions of the time-space fractional-order generalized Zakharov equation (FGZE). The method is extremely simple and effective for handling nonlinear equations with fractional derivatives arising in mathematical physics.

MSC:

35C08 Soliton solutions
35R11 Fractional partial differential equations
97M50 Physics, astronomy, technology, engineering (aspects of mathematics education)
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