Nonlinear scattering: The states which are close to a soliton
From MaRDI portal
Publication:1330702
DOI10.1007/BF02364705zbMath0836.35146MaRDI QIDQ1330702
Galina Perelman, Vladimir S. Buslaev
Publication date: 29 August 1994
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Cauchy problemnonlinear Schrödinger equationlinear Schrödinger equationasymptotic behavior of the solution
Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) (2)-body potential quantum scattering theory (81U05)
Related Items
Periodic solutions for a class of nonlinear partial differential equations in higher dimension, On the mathematical work of Vladimir Savel′evich Buslaev, Blow-up dynamics and spectral property in the L 2-critical nonlinear Schrödinger equation in high dimensions, Perturbation expansion and Nth order Fermi golden rule of the nonlinear Schrödinger equations, Relaxation of solitons in nonlinear Schrödinger equations with potential, Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential, Hamiltonian Dynamics of a Particle Interacting with a Wave Field, Soliton-Potential Interactions for Nonlinear Schrödinger Equation in $\mathbb{R}^3$, Stable directions for small nonlinear Dirac standing waves, ASYMPTOTIC STABILITY OF NONLINEAR SCHRÖDINGER EQUATIONS WITH POTENTIAL, Decay of small odd solutions for long range Schrödinger and Hartree equations in one dimension, Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity, Scattering asymptotics for a charged particle coupled to the Maxwell field
