Asymptotic expansion of the ground state energy for nonlinear Schrödinger system with three wave interaction

DOI10.3934/cpaa.2021157zbMath1479.35799OpenAlexW3200388713MaRDI QIDQ2062569

Yuki Osada, Kazuhiro Kurata

Publication date: 27 December 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021157

zbMATH Keywords

asymptotic behaviorasymptotic expansionground statenonlinear Schrödinger systemthree wave interaction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (5)

Existence of a minimizer for a nonlinear Schrödinger system with three wave interaction under non-symmetric potentials ⋮ High energy solutions of a quadratic coupled Schrödinger system with an asymmetric potential in entire space ⋮ A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction ⋮ Asymptotic expansion of the ground state energy for nonlinear Schrödinger system with three wave interaction ⋮ Existence of multiple nontrivial solutions of the nonlinear Schrödinger-Korteweg-de Vries type system

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