New soliton solutions of Davey–Stewartson equation with power-law nonlinearity
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DOI: 10.1007/s11082-017-0950-6
Abstract: This study is related to new soliton solutions of Davey–Stewartson equation (DSE) with power-law nonlinearity. The generalized Kudryashov method which is one of the analytical methods has been used for finding exact solutions of this… read more here.
Keywords: davey stewartson; stewartson equation; soliton solutions; new soliton ... See more keywords
Dynamics of soliton interaction solutions of the Davey-Stewartson I equation.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.014218
Abstract: In this paper, we first modify the binary Darboux transformation to derive three types of soliton interaction solutions of the Davey-Stewartson I equation, namely the higher-order lumps, the localized rogue wave on a solitonic background,… read more here.
Keywords: solutions davey; background; interaction solutions; solitonic background ... See more keywords
Double Wronskian Representation of the Nth-Order Solutions to the Davey–Stewartson Equations
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DOI: 10.3390/axioms14110799
Abstract: Solutions to the Davey–Stewartson equations (DS) in terms of the determinants of order 2N depending on 4N real parameters are constructed. The Darboux transformation is used to construct solutions of order N to this equation.… read more here.
Keywords: representation; davey stewartson; stewartson equations; order ... See more keywords