Justification of the asymptotic coupled mode approximation of out-of-plane gap solitons in Maxwell equations
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Publication:5003116
DOI10.1088/1361-6544/ac0485zbMath1475.35331arXiv2010.03473OpenAlexW3192233454MaRDI QIDQ5003116
Publication date: 29 July 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.03473
Maxwell equationsamplitude equationsKerr nonlinearityphotonic crystalgap solitonenvelope approximationLyapunov Schmidt decomposition
Asymptotic expansions of solutions to PDEs (35C20) Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcations in context of PDEs (35B32) Asymptotic analysis in optics and electromagnetic theory (78M35) Semilinear elliptic equations (35J61) Soliton solutions (35C08) Maxwell equations (35Q61)
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