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Soliton solutions to the non-local boussinesq equation by multiple exp-function scheme and extended kudryashov's approach

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2019-02-01

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Indian Acad Sciences

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Abstract

In this paper, we study the exact solutions of non-local Boussinesq equation (nlBq) which appears in many scientific fields. We generate dark solitons, singular solitons, a new family of solitons and combo dark-singular soliton-type solutions of nlBq by the extended Kudryashov's algorithm. Additional solutions such as singular periodic solutions also fall out of this integration scheme. Also, one-soliton, two-soliton and three-soliton type solutions are presented using multiple exp-function algorithm. Lastly, Lie symmetry analysis with the new similarity reductions is also examined.

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Lump-kink solutions, Spatiotemporal dispersion, Algorithm, Kp, Non-local boussinesq (nlbq) equation, Lie symmetry analysis, Extended kudryashov's algorithm, Multiple exp-function algorithm, Science & technology, Physical sciences, Physics, multidisciplinary, Physics

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