Lie symmetry analysis and invariant solutions of $$\varvec{(3+1)}$$(3+1)-dimensional Calogero–Bogoyavlenskii–Schiff equation
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DOI: 10.1007/s11071-018-4196-z
Abstract: Lie group analysis is applied to carry out the similarity reductions of the $$(3+1)$$(3+1)-dimensional Calogero–Bogoyavlenskii–Schiff (CBS) equation. We obtain generators of infinitesimal transformations of the CBS equation and each of these generators depend on various… read more here.
Keywords: cbs equation; dimensional calogero; calogero bogoyavlenskii; lie symmetry ... See more keywords
Investigation of new solutions for an extended (2 + 1)-dimensional Calogero-Bogoyavlenskii-Schif equation
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DOI: 10.1007/s11464-021-0952-3
Abstract: We investigate and concentrate on new infinitesimal generators of Lie symmetries for an extended (2 + 1)-dimensional Calogero-Bogoyavlenskii-Schif (eCBS) equation using the commutator table which results in a system of nonlinear ordinary differential equations (ODEs)… read more here.
Keywords: calogero bogoyavlenskii; dimensional calogero; equation; bogoyavlenskii schif ... See more keywords
In nonlinear optics, fluid dynamics and plasma physics: symbolic computation on a (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff system
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DOI: 10.1140/epjp/s13360-021-01323-0
Abstract: A (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff system in nonlinear optics, fluid dynamics and plasma physics is investigated via the symbolic computation in this paper. Soliton solutions, which are kink-shaped, are obtained via the Hirota method. Breather solutions… read more here.
Keywords: calogero bogoyavlenskii; system; physics; dimensional extended ... See more keywords