Some results for positive solutions to a nonlinear Schrödinger equation arising in nonlinear optics

DOI10.1016/j.na.2005.02.039zbMath1224.35391OpenAlexW2067850147MaRDI QIDQ1000070

Tatsuya Watanabe

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.039

zbMATH Keywords

nonlinear Schrödinger equationleast energy solutionmulti-peaked solution

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Lasers, masers, optical bistability, nonlinear optics (78A60) Positive solutions to PDEs (35B09)

Cites Work

• Asymmetric bound states of differential equations in nonlinear optics
• Guidance properties of nonlinear planar waveguides
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Asymmetric Modes in Symmetric Nonlinear Optical Waveguides

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