Darboux Transformations and Global Explicit Solutions for Nonlocal Davey-Stewartson I Equation
نویسندگان
چکیده
منابع مشابه
The 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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For the Davey-Stewartson I equation, which is an integrable equation in 1+2 dimensions, we have already found its Lax pair in 1+1 dimensional form by nonlinear constraints. This paper deals with the second nonlinearization of this 1+1 dimensional system to get three 1+0 dimensional Hamiltonian systems with a constraint of Neumann type. The full set of involutive conserved integrals is obtained ...
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ژورنال
عنوان ژورنال: Studies in Applied Mathematics
سال: 2018
ISSN: 0022-2526
DOI: 10.1111/sapm.12219