Geometric singular perturbation analysis to the coupled Schrödinger equations

DOI10.1016/j.aml.2023.108870zbMath1528.35163OpenAlexW4387063539MaRDI QIDQ6066898

Xiaowan Li, Shuguan Ji

Publication date: 16 November 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108870

zbMATH Keywords

homoclinic orbitsolitary wave solutionsgeometric singular perturbation theoryperturbed coupled Schrödinger equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Heteroclinic and homoclinic orbits of functional-differential equations (34K16)

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