The problem of nonlinear evolution equations with discontinuous coefficients is investigated by extended use of the AKNS scheme 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 Schroedinger equation with a potential-like term is illustrated by a numerical experiment.
Discontinuous Nonlinear Evolution Equations: Broken Conservation Laws and Soliton Tunnelling
PASCOLINI, ALESSANDRO
1984
Abstract
The problem of nonlinear evolution equations with discontinuous coefficients is investigated by extended use of the AKNS scheme 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 Schroedinger equation with a potential-like term is illustrated by a numerical experiment.File in questo prodotto:
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