New soliton solutions of Davey–Stewartson equation with power-law nonlinearity
Sign Up to like & getrecommendations! Published in 2017 at "Optical and Quantum Electronics"
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
Numerical scattering for the defocusing Davey–Stewartson II equation for initial data with compact support
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinearity"
DOI: 10.1088/1361-6544/ab28c6
Abstract: In this work we present spectral algorithms for the numerical scattering for the defocusing Davey-Stewartson (DS) II equation with initial data having compact support on a disk, i.e., for the solution of d-bar problems. Our… read more here.
Keywords: defocusing davey; davey stewartson; stewartson equation; scattering defocusing ... See more keywords
The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Notes"
DOI: 10.1134/s0001434621110122
Abstract: The Moutard transform is constructed for the solutions of the Davey-Stewartson II equation. It is geometrically interpreted using the spinor (Weierstrass) representation of surfaces in four-dimensional Euclidean space. Using the Moutard transformation and minimal surfaces,… read more here.
Keywords: moutard transformation; stewartson equation; transformation davey; davey stewartson ... See more keywords