Slow Passage through Resonance for a Weakly Nonlinear Dispersive Wave

DOI10.1137/040618084zbMath1081.35113OpenAlexW2063725522MaRDI QIDQ5317497

V. A. Lazarev, Sergei Glebov, Oleg M. Kiselev

Publication date: 16 September 2005

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5b63271c34e6f5adc7f9d33262ff6032c13e6279

zbMATH Keywords

nonlinear wavessolitonsnonlinear opticsresonance

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Asymptotic analysis in optics and electromagnetic theory (78M35)

Related Items (6)

Asymptotic behaviour of measure for captured trajectories into parametric autoresonance ⋮ Asymptotics of an autoresonance soliton ⋮ Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients ⋮ Autoresonance excitation of a soliton of the nonlinear Schrödinger equation ⋮ Two-phase solitonlike solutions of the Cauchy problem for a singularly perturbed Korteweg-de-Vries equation with variable coefficients ⋮ Weakly Nonlinear Dispersive Waves under Parametric Resonance Perturbation

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