Algorithms for solving scattering problems for the Manakov model of nonlinear Schrödinger equations

DOI10.1515/jiip-2020-0126zbMath1468.65222arXiv2006.03770OpenAlexW3111653042MaRDI QIDQ2042416

Leonid L. Frumin

Publication date: 20 July 2021

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03770

zbMATH Keywords

polarizationnonlinear Schrödinger equationsscattering problem

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Numerical methods for inverse problems for integral equations (65R32) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Cites Work

• A general framework for solving Riemann-Hilbert problems numerically
• Bäcklund transformations and their applications
• Nonlinear optical waves
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
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