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solv-int1998
On lump instability of Davey--Stewartson II equation
R. R. Gadyl'shin, O. M. Kiselev
We show that lumps (solitons) of the Davey--Stewartson II equation fail under small perturbations of initial data.
solv-int1998
Asymptotics of perturbed soliton for Davey--Stewartson II equation
R. R. Gadyl'shin, O. M. Kiselev
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…