The spectral representation of the first conserved densities of the nonlinear Schroedinger equation is used in order to obtain a thermodynamical description of the Madelung fluid associated with its soliton solution. In this framework, the processes associated with soliton evolution under slow variations of the parameters characterizing the system are discussed and their properties tested in numerical experiments.

Thermodynamical Description of the Solutions of the Nonlinear Schrödinger Equation under Slow Perturbations

PASCOLINI, ALESSANDRO
1987

Abstract

The spectral representation of the first conserved densities of the nonlinear Schroedinger equation is used in order to obtain a thermodynamical description of the Madelung fluid associated with its soliton solution. In this framework, the processes associated with soliton evolution under slow variations of the parameters characterizing the system are discussed and their properties tested in numerical experiments.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2517926
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