Discontinuous nonlinear evolution equations: Broken conservation laws and soliton tunnelling
type: Item
instance of: scholarly article
title: Discontinuous nonlinear evolution equations: Broken conservation laws and soliton tunnelling
zbMATH Open document ID: 0583.76022
DOI: 10.1016/0167-2789(84)90445-7
author: F. M. Giusto
author: T. A. Minelli
author: A. Pascolini
published in: Physica D
publication date: 1984-01-01T00:00:00Z
review text: The problem of nonlinear evolution equations with discontinuous coefficients is investigated by extended use of the AKNS scheme [e.g.: \textit{M. Ablowitz}, Stud. Appl. Math. 58, 17-94 (1978; Zbl 0384.35019)] and of the associated conservation laws, in view of an analysis of soliton fission and tunnelling. The employment of the motion constants evaluated by the broken conservation laws in the description of a tunnelling process for a nonlinear Schrödinger equation with a potential-like term is illustrated by a numerical experiment.
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 3934587
zbMATH Keywords: nonlinear tunnelling
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: nonlinear evolution equations with discontinuous coefficients
zbMATH Keywords: conservation laws
zbMATH Keywords: analysis of soliton fission and tunnelling
zbMATH Keywords: broken conservation laws
zbMATH Keywords: nonlinear Schrödinger equation with a potential-like term
MaRDI profile type: Publication
full work available at URL: 0167-2789(84)90445-7
OpenAlex ID: W2035343563
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description: scientific article; zbMATH DE number 3934587