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Asymptotic behaviour of the solution of the Cauchy problem for the nonlinear Schrödinger equation with boundary conditions of the finite density type. (Russian. English summary) Zbl 0602.35110
We carry out the asymptotic analysis of the Riemann problem associated with the nonlinear Schrödinger equation to obtain the leading asymptotic term of the solution of the Cauchy problem in the fast decay region.

35Q99 Partial differential equations of mathematical physics and other areas of application
35B40 Asymptotic behavior of solutions to PDEs
35G25 Initial value problems for nonlinear higher-order PDEs
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