Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity

DOI10.1016/j.chaos.2022.111803zbMath1506.35190OpenAlexW4210801513MaRDI QIDQ2677033

Jianhua Zeng, Xiuye Liu

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.111803

zbMATH Keywords

nonlinear Schrödinger equationmodulational instabilitydark solitonssnaking instability

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08)

Cites Work

• Unnamed Item
• One-dimensional localized modes of spin-orbit-coupled Bose-Einstein condensates with spatially periodic modulated atom-atom interactions: nonlinear lattices
• Dark solitons on a stripe phase background in a two-component Bose-Einstein condensate
• Modulated solitons, soliton and vortex clusters in purely nonlinear defocusing media
• Spatiotemporal engineering of matter-wave solitons in Bose-Einstein condensates
• Bose-Einstein Condensation and Superfluidity
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties
• The Defocusing Nonlinear Schrödinger Equation
• Dark solitons in atomic Bose–Einstein condensates: from theory to experiments

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