Asymptotics of perturbed soliton for Davey--Stewartson II equation

dc.creatorGadyl'shin, R. R.
dc.creatorKiselev, O. M.
dc.date1998-01-09
dc.date1998-03-31
dc.date.accessioned2026-07-07T06:17:31Z
dc.date.available2026-07-07T06:17:31Z
dc.descriptionIt 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.
dc.descriptionIn this replaced version the formula for the perturbed parameter of the soliton is corrected. Amstex, 13 pages
dc.identifierhttps://arxiv.org/abs/solv-int/9801014
dc.identifierhttp://arxiv.org/abs/solv-int/9801014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94410
dc.subjectExactly Solvable and Integrable Systems
dc.titleAsymptotics of perturbed soliton for Davey--Stewartson II equation
dc.typetext

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