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Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type. (English. Russian original) Zbl 0702.35231
Theor. Math. Phys. 81, No. 1, 1011-1017 (1989); translation from Teor. Mat. Fiz. 81, No. 1, 3-11 (1989).
Asymptotics as \(t\to +\infty\) of the solution to the nonlinear Schrödinger equation \(iu_ t+u_{xx}-2u| u|^ 2=0\) is investigated in the case of initial data tending rapidly as \(x\to \pm \infty\) to different single-gap potentials.
Reviewer: I.Ginchev

MSC:
35Q55 NLS equations (nonlinear Schrödinger equations)
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