Black holes and solitons of the quantized dispersionless NLS and DNLS equations

DOI10.1017/S1446181100007926zbMath1040.35117OpenAlexW2078169242MaRDI QIDQ3146196

Jyh-Hao Lee, Oktay K. Pashaev

Publication date: 4 November 2002

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100007926

zbMATH Keywords

Lax representationHirota bilinear formdispersionless limitschiral solitonssoliton resonances

Mathematics Subject Classification ID

Black holes (83C57) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (7)

Nonautonomous solitons and interactions for a variable-coefficient resonant nonlinear Schrödinger equation ⋮ Soliton resonances for the MKP-II ⋮ RESONANCE SOLITONS AS BLACK HOLES IN MADELUNG FLUID ⋮ Dissipative hierarchies and resonance solitons for KP-II and MKP-II ⋮ Envelope soliton resonances and Broer-Kaup-type non-Madelung fluids ⋮ Shock waves, chiral solitons and semiclassical limit of one-dimensional anyons ⋮ Relativistic DNLS and Kaup-Newell hierarchy

Cites Work

• Soliton Resonances, Black Holes and Madelung Fluid
• Multi-Soliton Solutions of a Derivative Nonlinear Schrödinger Equation
• Maximal Extension of Schwarzschild Metric
• Painleve analysis of the non-linear Schrodinger family of equations
• Integrable dissipative structures in the gauge theory of gravity
• An exact solution for a derivative nonlinear Schrödinger equation
• On a class of homogeneous nonlinear Schrödinger equations
• Integrable models as constrained topological gauge theory

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