Asymptotics of an autoresonance soliton

DOI10.1134/S0081543816050084zbMath1406.35320MaRDI QIDQ338021

Oleg M. Kiselev

Publication date: 3 November 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

solitonphase lockingautoresonance

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Cites Work

• Autoresonant excitation of multiphase waves in the sine-Gordon model
• Autoresonant asymptotics in an oscillating system with weak dissipation
• Autoresonance excitation of a soliton of the nonlinear Schrödinger equation
• Breather resonant phase locking by an external perturbation
• Asymptotic analysis of autoresonance models
• Resonantly Interacting Waves
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
• Long wave asymptotics. Integrable equations as asymptotic limits of non-linear systems
• Slow Passage through Resonance for a Weakly Nonlinear Dispersive Wave
• Weakly Nonlinear Dispersive Waves under Parametric Resonance Perturbation
• Autoresonance excitation of a breather in weak ferromagnetics

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