The variational iteration method (VIM) proposed by Ji-Haun He is a new analytical method tosolve linear and nonlinear equation. In this paper, the Variational Iteration Method (VIM) has been applied for solving Davey-Stewartson equations which arise as higher dimensional generalizations of the Nonlinear Shrodinger (NLS) equation, as well as from physical considerations [1]. Comparison the absol...

The classical spin model in planar condensed media is represented as the U (1) Chern-Simons gauge field theory. When the vorticity of the continuous flow of the media coincides with the statistical magnetic field, which is necessary for the model's integrability, the theory admits zero curvature connection. This allows me to formulate the model in terms of gauge-invariant fields whose evolution...

The Moutard transform is constructed for the solutions of Davey-Stewartson II equation. It geometrically interpreted using spinor (Weierstrass) representation surfaces in four-dimensional Euclidean space. Using transformation and minimal surfaces, examples are that have smooth, rapidly decreasing initial data lose their regularity a finite time.

This article presents, in a brief form, the recent results on application of the Inverse scattering method to some problems of Differential geometry. A connection between the theory of Integrable systems and Differential geometry is not a new concept. The Sine–Gordon equation was introduced in the theory of surfaces of constant negative curvature around 1860. Actually, it should be called the “...

Experimental and numerical evidence is reviewed for the existence of a Stewartson layer in spherical Couette flow at small Ekman and Rossby numbers (E < ∼ 10 , Ro < ∼ 10 ), the relevant hydrodynamic regime in the superfluid outer core of a neutron star. Numerical simulations of a superfluid Stewartson layer are presented for the first time, showing how the layer is disrupted by nonaxisymmetric ...

This article aims to examine M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation (FE), which is a generalization Kadomtsev-Petviashvili (KP) and Davey-Stewartson (DS) equations. The (4+1)$-dimensional with derivatives also studied first time in this study. generalized projective Riccati equations method (GPREM) successfully implemented. In application presented meth...

Abstract The exact traveling wave solutions of generalized Davey-Stewartson equations with arbitrary power nonlinearities are studied using the dynamical system and first integral methods. Taking different parameter conditions, we obtain periodic solutions, solitary kink anti-kink solutions.