On solitary wave solutions to the nonlinear Schrödinger equations with two parameters

DOI10.1002/mana.201100215zbMath1328.34022OpenAlexW1600107953MaRDI QIDQ5169948

Yukun An, Fanglei Wang

Publication date: 16 July 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100215

zbMATH Keywords

positive solutionsupper and lower solutionsfixed point indexnonlinear Schrödinger equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Parameter dependent boundary value problems for ordinary differential equations (34B08) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Soliton solutions (35C08)

Cites Work

• Solitary waves for linearly coupled nonlinear Schrödinger equations with inhomogeneous coefficients
• Existence of positive solutions for \(2m\)-order nonlinear differential systems
• Guided waves in a multi-layered optical structure
• On maximum principles for cooperative elliptic systems via fixed point index
• On positive solutions of boundary value problems on the half-line

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