DAVEY-STEWARTSON EQUATION FROM A ZERO CURVATURE AND A SELF-DUALITY CONDITION
نویسندگان
چکیده
منابع مشابه
Davey-stewartson Equation from a Zero Curvature and a Self-duality Condition
We derive the two equations of Davey-Stewartson type from a zero curvature condition associated with SL(2,R) in 2+ 1 dimensions. We show in general how a 2+1 dimensional zero curvature condition can be obtained from the self-duality condition in 3+3 dimensions and show in particular how the Davey-Stewartson equations can be obtained from the selfduality condition associated with SL(2,R) in 3 + ...
متن کاملDavey-Stewartson Equation with Fractional Coordinate Derivatives
We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations of fractional order. The fractional derivative is described in the Caputo sense. The results obtained by this method have been compared with the exact solutions. Stability and convergence of the proposed approach is investigated. The effects of fractional derivatives for the systems under considerat...
متن کاملRogue waves in the Davey-Stewartson I equation.
General rogue waves in the Davey-Stewartson-I equation are derived by the bilinear method. It is shown that the simplest (fundamental) rogue waves are line rogue waves which arise from the constant background with a line profile and then disappear into the constant background again. It is also shown that multirogue waves describe the interaction of several fundamental rogue waves. These multiro...
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General rogue waves in the Davey–Stewartson (DS)II equation are derived by the bilinear method, and the solutions are given through determinants. It is shown that the simplest (fundamental) rogue waves are line rogue waves which arise from the constant background in a line profile and then retreat back to the constant background again. It is also shown that multi-rogue waves describe the intera...
متن کاملThe Fourier Method for the Linearized Davey-stewartson I Equation
The linearized Davey-Stewartson equation with varing coefficients is solved by Fourier method. The approach uses the inverse scattering transform for the Davey-Stewartson equation.
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 1994
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732394001088