The Effect of Standard Wiener Process on the Stochastic Davey–Stewartson Model Via the Jacobi Elliptic Function Expansion Approach
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.70332
Abstract: In this paper, the stochastic Davey–Stewartson mathematical model of hydrodynamics, nonlinear optics, and plasma physics is considered. This model is impressive in that it can describe complex multidimensional wave processes under the action of random… read more here.
Keywords: function expansion; stochastic davey; davey stewartson; elliptic function ... See more keywords
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
Multi-solitons for a generalized Davey-Stewartson system
Sign Up to like & getrecommendations! Published in 2017 at "Science China Mathematics"
DOI: 10.1007/s11425-015-0270-9
Abstract: This paper studies multi-solitons of non-integrable generalized Davey-Stewartson system in the elliptic-elliptic case. By extending the method for constructing multi-solitons of non-integrable nonlinear Schrödinger equations and systems developed by Martel et al. to the present… read more here.
Keywords: davey stewartson; system; non integrable; multi solitons ... See more keywords
Applicable symbolic computations on dynamics of small-amplitude long waves and Davey–Stewartson equations in finite water depth
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.01.017
Abstract: Abstract Some classes of nonlinear partial differential equations can be reduced to more tractable single nonlinear equations via the lowest order of the perturbed reductive technique. The nonlinear and dispersive waves of the shallow-water model… read more here.
Keywords: davey stewartson; depth; symbolic computations; water ... See more keywords
Blow-up in several points for the Davey–Stewartson system in R2
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.060
Abstract: Abstract In this paper, we study the blow-up solutions for the Davey–Stewartson system in R 2 , which appears in the description of the evolution of surface water waves. For any given points x 1… read more here.
Keywords: blow several; davey stewartson; several points; stewartson system ... See more keywords
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta
Sign Up to like & getrecommendations! Published in 2024 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2024.2411038
Abstract: In the present manuscript, we depart from a two-dimensional form of the nonlinear Davey–Stewartson system from fluid dynamics, consisting of two partial differential equations with two unknown functions, one of them is complex-valued and the… read more here.
Keywords: model; mass energy; davey stewartson;
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
Analytical solutions to the M-derivative resonant Davey–Stewartson equations
Sign Up to like & getrecommendations! Published in 2021 at "Modern Physics Letters B"
DOI: 10.1142/s0217984921504558
Abstract: In this paper, the (2+1)-dimensional resonant Davey–Stewartson equations are solved by using two methods; namely, [Formula: see text]-expansion and [Formula: see text]-expansion methods. A wave transform is used to convert the (2+1)-dimensional resonant Davey–Stewartson (RDS)… read more here.
Keywords: analytical solutions; davey stewartson; stewartson equations; resonant davey ... See more keywords
New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematical Physics"
DOI: 10.1155/2019/3879259
Abstract: The Davey-Stewartson Equation (DSE) is an equation system that reflects the evolution in finite depth of soft nonlinear packets of water waves that move in one direction but in which the waves’ amplitude is modulated… read more here.
Keywords: davey stewartson; system; equation; exact solutions ... See more keywords
Double Wronskian Representation of the Nth-Order Solutions to the Davey–Stewartson Equations
Sign Up to like & getrecommendations! Published in 2025 at "Axioms"
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