Integration of the matrix nonlinear Schrödinger equation with a source

DOI10.26516/1997-7670.2021.37.63zbMath1476.35217OpenAlexW3199155665MaRDI QIDQ823957

Anvar Aknazarovich Reĭimberganov, Gaĭrat Urazalievich Urazboev, Aĭgul Kamildzhanovna Babadzhanova

Publication date: 14 December 2021

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1385

zbMATH Keywords

inverse scattering methodmatrix nonlinear Schrödinger equationself-consistent sourcescattering data

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Spectral theory for ordinary differential operators in the complex domain (34M46)

Cites Work

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• Characterization of scattering data for the AKNS system
• The nonlinear Schrödinger equation with a self-consistent source in the class of periodic functions
• Inverse scattering on the line for the matrix Sturm-Liouville equation
• Integration of the nonlinear Schrödinger equation with a self- consistent source
• The soliton solutions for the nonlinear Schrödinger equation with self-consistent source
• Integration of the matrix modified Korteweg-de Vries equation with an integral-type source
• Novel formulation of inverse scattering and characterization of scattering data
• Integration of the matrix KdV equation with self-consistent source
• Method for Solving the Korteweg-deVries Equation
• Integrals of nonlinear equations of evolution and solitary waves

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