Solitary Waves in a Madelung Fluid Description of Derivative NLS Equations

DOI10.2991/jnmp.2008.15.s3.21zbMath1362.35285OpenAlexW2170931631MaRDI QIDQ5346999

Anca Visinescu, A. T. Grecu, Renato Fedele, Dan Grecu, Sergio De Nicola

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2008.15.s3.21

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (5)

Madelung fluid description on a generalized mixed nonlinear Schrödinger equation ⋮ Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model ⋮ Solitary waves with the Madelung fluid description: a generalized derivative nonlinear Schrödinger equation ⋮ Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation ⋮ Madelung fluid description of the generalized derivative nonlinear Schrödinger equation: special solutions and their stability

Cites Work

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• Exact Solutions of the Derivative Nonlinear Schrödinger Equation under the Nonvanishing Conditions
• Multi-Soliton Solutions of a Derivative Nonlinear Schrödinger Equation
• Alfven solitons
• An exact solution for a derivative nonlinear Schrödinger equation
• The hierarchy of multi-soliton solutions of the derivative nonlinear Schr dinger equation
• Envelope Solitons versus Solitons
• N-soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions
• RESONANCE SOLITONS AS BLACK HOLES IN MADELUNG FLUID

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