Generation of asymptotic solitons of the nonlinear Schrödinger equation by boundary data

DOI10.1063/1.1588465zbMath1062.35102OpenAlexW2003912229MaRDI QIDQ4833057

Vladimir P. Kotlyarov, Anne Boutet de Monvel-Berthier

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1588465

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Groups and algebras in quantum theory and relations with integrable systems (81R12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (10)

Characteristic properties of the scattering data for the mKdV equation on the half-line ⋮ The Davey–Stewartson I equation on the quarter plane with homogeneous Dirichlet boundary conditions ⋮ Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value ⋮ Inverse spectral transform for the Ragnisco-Tu equation with heaviside initial condition ⋮ Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier ⋮ Integrable nonlinear evolution equations on a finite interval ⋮ Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition ⋮ The Nonlinear Steepest Descent Method: Asymptotics for Initial-Boundary Value Problems ⋮ Riemann–Hilbert problem to the modified Korteveg–de Vries equation: Long-time dynamics of the steplike initial data ⋮ Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line

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