Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method
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Publication:2461077
DOI10.1007/s11232-007-0083-3zbMath1131.37066arXivnlin/0611003OpenAlexW2027782873MaRDI QIDQ2461077
Publication date: 21 November 2007
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0611003
NLS equations (nonlinear Schrödinger equations) (35Q55) Hydro- and aero-acoustics (76Q05) Soliton equations (35Q51) Statistical mechanics of plasmas (82D10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (8)
Solitary waves in the resonant nonlinear Schrödinger equation: stability and dynamical properties ⋮ Gaussian traveling wave solutions for two argument-Schrödinger equations under potentials ⋮ Envelope solitary wave and periodic wave solutions in a Madelung fluid description of generalized derivative resonant nonlinear Schrödinger equation ⋮ Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system ⋮ Elliptic function solutions in Jackiw-Teitelboim Dilaton gravity ⋮ Dynamical behaviors and oblique resonant nonlinear waves with dual-power law nonlinearity and conformable temporal evolution ⋮ Exploring a cold plasma-2d black hole connection ⋮ Soliton gas in integrable dispersive hydrodynamics
Cites Work
- Hypersonic flow past slender bodies in dispersive hydrodynamics
- SPIN AND MADELUNG FLUID
- A note on a capillarity model and the nonlinear Schrödinger equation
- Integrable Shallow-Water Equations and Undular Bores
- RESONANCE SOLITONS AS BLACK HOLES IN MADELUNG FLUID
- A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
- Unnamed Item
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