Articles with "cklund transformation" as a keyword



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Bäcklund transformation and CRE solvability for the negative-order modified KdV equation

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Published in 2017 at "Nonlinear Dynamics"

DOI: 10.1007/s11071-017-3682-z

Abstract: The residual symmetry is obtained for the negative-order modified KdV (nmKdV) equation from the truncated Painlevé expansion by using symbolic computation. The multiple residual symmetries are presented and localized by introducing auxiliary variables, and then,… read more here.

Keywords: order modified; modified kdv; equation; cklund transformation ... See more keywords
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Bilinear Bäcklund transformation, breather- and travelling-wave solutions for a (2+1)-dimensional extended Kadomtsev–Petviashvili II equation in fluid mechanics

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Published in 2021 at "Modern Physics Letters B"

DOI: 10.1142/s0217984921503152

Abstract: Fluid-mechanics studies are applied in mechanical engineering, biomedical engineering, oceanography, meteorology and astrophysics. In this paper, we investigate a (2+1)-dimensional extended Kadomts... read more here.

Keywords: dimensional extended; mechanics; cklund transformation; bilinear cklund ... See more keywords