The Schrödinger–Langevin equation: Special solutions and nonexistence of solitary waves

DOI10.1063/1.526223zbMath0555.35123OpenAlexW1663715720MaRDI QIDQ3218556

Horst Lange, Ludger Brüll

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526223

zbMATH Keywords

existencenonexistenceharmonic oscillator HamiltonianSchrödinger-Langevin equationGaussian solutionssolitary wave type solutions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Symmetry and non-Lie reduction of the nonlinear Schrödinger equation, Untenability of a proposed constrained dynamics for the damped harmonic oscillator, Localized traveling wave solution for a logarithmic nonlinear Schrödinger equation, The Schrödinger-Langevin equation with and without thermal fluctuations, Time-dependent Gaussian solution for the Kostin equation around classical trajectories, Gaussian solitary waves for argument-Schrödinger equation, Gaussian traveling wave solutions for two argument-Schrödinger equations under potentials, Stationary, oscillatory and solitary wave type solution of singular nonlinear schrödinger equations, On a rigorous interpretation of the quantum Schrödinger-Langevin operator in bounded domains with applications, Periodic solutions of one-dimensional nonlinear Schrödinger equations, On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions

Cites Work

• Model equations for long waves in nonlinear dispersive systems