Shock waves, chiral solitons and semiclassical limit of one-dimensional anyons

DOI10.1016/S0960-0779(03)00084-5zbMath1069.81022OpenAlexW2090237473MaRDI QIDQ1433828

Jyh-Hao Lee, Oktay K. Pashaev, Chi-Kun Lin

Publication date: 1 July 2004

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(03)00084-5

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (15)

Multiple soliton solutions with chiral nonlinear Schrödinger's equation in (2+1)-dimensions ⋮ Conservative finite difference schemes for the chiral nonlinear Schrödinger equation ⋮ A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation ⋮ Envelope soliton resonances and Broer-Kaup-type non-Madelung fluids ⋮ Exactly solvable madelung fluid and complex Burgers equations: a quantum Sturm-Liouville connection ⋮ On the investigation of chiral solitons via modified new Kudryashov method ⋮ Well-posedness of a Schrödinger–Poisson model describing nonlinear chiral effects ⋮ Variational theory and new abundant solutions to the (1+2)-dimensional chiral nonlinear Schrödinger equation in optics ⋮ Chiral solitons with time-dependent coefficients ⋮ Chiral solitons in \(1+2\) dimensions ⋮ Hydrodynamic limits of the nonlinear Klein-Gordon equation ⋮ Perturbation of chiral solitons ⋮ Zero-dispersion limit of the short-wave--long-wave interaction equations ⋮ Singular limits of the Klein-Gordon equation ⋮ Chiral solitons in a quantum potential

Cites Work

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• Compressible fluid flow and systems of conservation laws in several space variables
• On the fluid-dynamical analogue of the general nonlinear Schrödinger equation
• Remarks on the singularity of the nonlinear Schrödinger equation: The hydrodynamical approach
• Chiral solitons from dimensional reduction of Chern-Simons gauged nonlinear Schrödinger equation: classical and quantum aspects
• Scattering of solitons in the derivative nonlinear Schrödinger model
• Soliton dynamics in a potential
• The behaviour of solutions of NLS equation of derivative type in the semiclassical limit
• Soliton Resonances, Black Holes and Madelung Fluid
• Black holes and solitons of the quantized dispersionless NLS and DNLS equations
• Global Solvability of the Derivative Nonlinear Schrodinger Equation
• Painleve analysis of the non-linear Schrodinger family of equations
• The hyperbolic nature of the zero dispersion Kdv limit
• The semiclassical limit of the defocusing NLS hierarchy
• On a class of homogeneous nonlinear Schrödinger equations
• Semiclassical limit of the nonlinear Schrödinger equation in small time
• Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
• A Nonrelativistic Chiral Soliton in One Dimension
• On the nonlinear Schrodinger equations of derivative type
• SEMICLASSICAL LIMIT OF THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION
• RESONANCE SOLITONS AS BLACK HOLES IN MADELUNG FLUID
• A review of dispersive limits of (non)linear Schrödinger-type equations
• On the semiclassical limit of the general modified NLS equation

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