Ground state solutions for a non-autonomous nonlinear Schrödinger-KdV system

DOI10.1007/S11464-020-0867-4zbMath1466.35125OpenAlexW3098967820MaRDI QIDQ2027113

Chun-Lei Tang, Wenjing Bi

Publication date: 25 May 2021

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-020-0867-4

zbMATH Keywords

variational methodsSchrödinger-KdV systemexistence of ground state solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (1)

Ground state solution for Schrödinger-KdV system with periodic potential

Cites Work

• Existence and stability of a two-parameter family of solitary waves for an NLS-KdV system
• Existence of bound states for the coupled Schrödinger-KdV system with cubic nonlinearity
• On a class of nonlinear Schrödinger equations
• On the existence of bound and ground states for some coupled nonlinear Schrödinger-Korteweg-de Vries equations
• Orbital stability of standing waves for a system of nonlinear Schrödinger equations with three wave interaction
• Minimax theorems
• Existence and stability of a two-parameter family of solitary waves for a logarithmic NLS-KdV system
• Existence of bound and ground states for a system of coupled nonlinear Schrödinger-KdV equations
• Existence and stability of ground-state solutions of a Schrödinger—KdV system

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