Soliton dynamics of symmetry-endowed two-soliton solutions of the nonlinear Schrödinger equation

DOI10.1063/1.1290743zbMath0971.78017OpenAlexW1978763336WikidataQ52015749 ScholiaQ52015749MaRDI QIDQ2726387

Ilarion V. Melnikov, Dumitru Mazilu, L.-C. Crasovan, N.-C. Panoiu, Dumitru Mihalache

Publication date: 17 July 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2750bc22b3cc8d93402a0a884da89e7cdbf976bf

zbMATH Keywords

perturbationsnonlinear opticsadiabatic perturbation method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (4)

Dynamic chaos and stability of a weakly open Bose-Einstein condensate in a double-well trap ⋮ Short-lived two-soliton bound states in weakly perturbed nonlinear Schrödinger equation ⋮ Chaotic solitons in the quadratic-cubic nonlinear Schrödinger equation under nonlinearity management ⋮ Dynamics of optical solitons with dispersion-management

Cites Work

• A perturbational approach to the two-soliton systems
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Soliton Evolution in the Presence of Perturbation
• Soliton Perturbations: A Variational Principle for the Soliton Parameters
• Guiding-center soliton
• The Riemann problem method for solving a perturbed nonlinear Schrodinger equation describing pulse propagation in optic fibres

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