Bilinear form, bilinear Bäcklund transformation and dynamic features of the soliton solutions for a variable-coefficient (3+1)-dimensional generalized shallow water wave equation
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DOI: 10.1142/s0217984917501263
Abstract: Under investigation in this letter is a variable-coefficient (3+1)-dimensional generalized shallow water wave equation. Bilinear form and Backlund transformation are obtained. One-, two- and three-soliton solutions are derived via the Hirota bilinear method. Interaction and… read more here.
Keywords: soliton solutions; dimensional generalized; generalized shallow; coefficient dimensional ... See more keywords
Optimal system, nonlinear self-adjointness and conservation laws for generalized shallow water wave equation
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DOI: 10.1515/phys-2018-0049
Abstract: Abstract In this article, the generalized shallow water wave (GSWW) equation is studied from the perspective of one dimensional optimal systems and their conservation laws (Cls). Some reduction and a new exact solution are obtained… read more here.
Keywords: conservation; generalized shallow; nonlinear self; conservation laws ... See more keywords