Asymptotics of perturbed soliton for Davey--Stewartson II equation

Details Asymptotics of perturbed soliton for Davey--Stewartson II equation Asymptotics of perturbed soliton for Davey--Stewartson II equation

1998-01-09

arxiv.org/abs/solv-int/9801014v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

In this replaced version the formula for the perturbed parameter of the soliton is corrected. Amstex, 13 pages

Scientific paper

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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