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
Bilinear form and exact solutions for a new extended (2+1)-dimensional Boussinesq equation
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DOI: 10.1016/j.rinp.2021.103919
Abstract: Abstract In this article, a new extended (2+1)-dimensional Boussinesq equation which can be used to describe the propagation of shallow water waves, was investigated. By using the bilinear bell polynomial theorem, the Hirota bilinear form… read more here.
Keywords: bilinear form; new extended; equation; extended dimensional ... See more keywords
Lie Symmetry Analysis, Particular Solutions and Conservation Laws of a New Extended (3+1)-Dimensional Shallow Water Wave Equation
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DOI: 10.3390/sym14091855
Abstract: In this paper, a new extended (3+1)-dimensional shallow water wave equation is discussed via Lie symmetry analysis. Making use of symmetric nodes, we obtain two kinds of symmetrically reduced ODEs. By means of power series,… read more here.
Keywords: conservation; shallow water; new extended; extended dimensional ... See more keywords