Integration of the nonlinear two-dimensional spatial Schrödinger equation by the inverse-problem method
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Publication:794212
DOI10.1007/BF01081819zbMath0541.35068OpenAlexW2025467430MaRDI QIDQ794212
M. D. Pochinajko, Leonid P. Nizhnik
Publication date: 1982
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01081819
Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (12)
Subspaces generated in the spaces \(L_ p\) \((2<p<\infty)\) by random processes ⋮ Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. I ⋮ Fundamental function of the Rademacher spaces ⋮ Differential-geometric structures in the theory of two-dimensional integrable equations ⋮ Inverse scattering transform in two spatial dimensions for the \(N\)-wave interaction problem with a dispersive term ⋮ The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension ⋮ Theory of multidimensional Delsarte-Lions transmutation operators. II ⋮ Admissible complexes of codimension two of multidimensional planes in projective space ⋮ The inverse scattering problems for the hyperbolic equations and their application to nonlinear integrable systems ⋮ Theory of multidimensional Delsarte-Lions transmutation operators. I ⋮ On de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications ⋮ Integration of nonlinear system of four waves with two velocities in (2 + 1) dimensions by the inverse scattering transform method
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