Article

INVERSE SCATTERING TRANSFORM FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH SELF-CONSISTENT SOURCE

Jumaniyozova KhayrinisoUrgench State University

Zenodo (CERN European Organization for Nuclear Research)repository2023en

ABI

Abstract

The theory of inverse scattering is studied to solve the initial-value problem for the nonlinear Schrodinger equation with a self-consistent source and the finite density type initial data. In direct scattering problem, we establish the Jost eigenfunctions, scattering data and their analyticity and symmetry. Moreover, the asymptotic behavior of the Jost functions of the Dirac’s type operator and scattering data are analyzed needed in inverse problem

Topics

Advanced Mathematical Physics Problems Spectral Theory in Mathematical Physics Numerical methods for differential equations

Identifiers

DOI: 10.5281/zenodo.8394742

Citations and references

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