Asymmetric Modes in Symmetric Nonlinear Optical Waveguides

DOI10.1137/S0036141098336388zbMath0933.34014OpenAlexW2024019851MaRDI QIDQ4701925

Silvia Cingolani, David Arcoya, José Luis Gámez

Publication date: 23 November 1999

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141098336388

zbMATH Keywords

nonlinear eigenvalue problemasymmetric positive solutionelectromagnetic guided wave

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (7)

Positive bound states of systems of nonlinear Schrödinger equations ⋮ Surface gap soliton ground states for the nonlinear Schrödinger equation ⋮ Existence of positive multi-peaked solutions to a nonlinear Schrödinger equation arising in nonlinear optics ⋮ Uniqueness and stability of ground states for some nonlinear Schrödinger equations ⋮ Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems ⋮ Some results for positive solutions to a nonlinear Schrödinger equation arising in nonlinear optics ⋮ Multiplicity of asymmetric solutions for nonlinear elliptic problems

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