dorsal/arxiv
View SchemaAsymptotics of perturbed soliton for Davey--Stewartson II equation
| Authors | R. R. Gadyl'shin, O. M. Kiselev |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9801014 |
| URL | https://arxiv.org/abs/solv-int/9801014 |
Abstract
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.
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"abstract": "It is shown that, under a small perturbation of lump (soliton) for\nDavey--Stewartson (DS-II) equation, the scattering data gain the nonsoliton\nstructure. As a result, the solution has the form of Fourier type integral.\nAsymptotic analysis shows that, in spite of dispertion, the principal term of\nthe asymptotic expansion for the solution has the solitary wave form up to\nlarge time.",
"arxiv_id": "solv-int/9801014",
"authors": [
"R. R. Gadyl\u0027shin",
"O. M. Kiselev"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Asymptotics of perturbed soliton for Davey--Stewartson II equation",
"url": "https://arxiv.org/abs/solv-int/9801014"
},
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