Stabilization of solitons under competing nonlinearities by external potentials

DOI10.1063/1.4903359zbMath1361.35170arXiv1411.6787OpenAlexW2032263963WikidataQ86441263 ScholiaQ86441263MaRDI QIDQ5347053

Krzysztof B. Zegadlo, Marek Trippenbach, Miroslaw A. Karpierz, Tomasz Wasak, Boris A. Malomed

Publication date: 19 May 2017

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

Full work available at URL: https://arxiv.org/abs/1411.6787

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (4)

Stable NLS solitons in a cubic-quintic medium with a delta-function potential ⋮ Diversity of solitons in a generalized nonlinear Schrödinger equation with self-steepening and higher-order dispersive and nonlinear terms ⋮ Spatial solitons in double-well potentials ⋮ Families of fundamental and vortex solitons under competing cubic-quintic nonlinearity with complex potentials

Cites Work

• Optical solitons due to quadratic nonlinearities: From basic physics to futuristic applications
• Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework
• Spectrally stable encapsulated vortices for nonlinear Schrödinger equations
• Internal modes of envelope solitons
• Stable NLS solitons in a cubic-quintic medium with a delta-function potential
• Nonlinear Waves in Integrable and Nonintegrable Systems

This page was built for publication: Stabilization of solitons under competing nonlinearities by external potentials