Global solutions and self‐similar solutions for coupled nonlinear Schrödinger equations

DOI10.1002/mma.4329zbMath1373.35293OpenAlexW2583242975MaRDI QIDQ4977876

Yao-Jun Ye

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4329

zbMATH Keywords

self-similar solutionsCauchy problemglobal solutionscoupled nonlinear Schrödinger equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Self-similar solutions to PDEs (35C06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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