Publication: Soliton solutions to the non-local boussinesq equation by multiple exp-function scheme and extended kudryashov's approach
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Date
2019-02-01
Authors
Yıldırım, Yakup
Authors
Adem, Abdullahi Rashid
Yıldırım, Yakup
Yaşar, Emrullah
Journal Title
Journal ISSN
Volume Title
Publisher
Indian Acad Sciences
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.
Description
Keywords
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