Asymptotics of perturbed soliton for Davey--Stewartson II equation
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
It is shown that, under a small perturbation of lump (soliton) for Davey--Stewartson (DS-II) equation, the scattering data gain the nonsoliton structure. As a result, the solution has the form of Fourier type integral. Asymptotic analysis shows that, in spite of dispertion, the principal term of the asymptotic expansion for the solution has the solitary wave form up to large time.
In this replaced version the formula for the perturbed parameter of the soliton is corrected. Amstex, 13 pages
In this replaced version the formula for the perturbed parameter of the soliton is corrected. Amstex, 13 pages