On Lie symmetries and soliton solutions of $$(2+1)$$(2+1)-dimensional Bogoyavlenskii equations
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DOI: 10.1007/s11071-018-4509-2
Abstract: The present article is devoted to find some invariant solutions of the $$(2+1)$$(2+1)-dimensional Bogoyavlenskii equations using similarity transformations method. The system describes $$(2+1)$$(2+1)-dimensional interaction of a Riemann wave propagating along y-axis with a long wave… read more here.
Keywords: lie symmetries; bogoyavlenskii equations; soliton solutions; dimensional bogoyavlenskii ... See more keywords
Solitons and other solutions to the nonlinear Bogoyavlenskii equations using the generalized Riccati equation mapping method
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DOI: 10.1007/s11082-017-1195-0
Abstract: Recently, the authors of the article (Zahran and khater in Appl Math Model 40:1769–1775, 2016) have applied the modified extended tanh-function method to the nonlinear Bogoyavlenskii equations and found very few special solutions. In our… read more here.
Keywords: mapping method; equation mapping; bogoyavlenskii equations; generalized riccati ... See more keywords