Abstract:
A study is made of the large-time asymptotic behavior of the solutions of
the nonlinear Schrödinger equation with attraction that tend to zero as
$x\to+\infty$ and to a finite-gap solution of the equation as $x\to-\infty$. It is
shown that in the region of the leading edge such solutions decay in the
limit $t\to\infty$ into an infinite series of solitons with variable phases, the
solitons being generated by the continuous spectrum of the operator $L$ of
the corresponding Lax pair.
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