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D Sh Lundina and V A Marchenko
© 1993 American Mathematical Society
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Citation D Sh Lundina and V A Marchenko 1993 Sb. Math. 75 429
DOI 10.1070/SM1993v075n02ABEH003392
17 Total downloads
Multisoliton solutions 
of the nonlinear Schrödinger equation are considered which satisfy the condition of finite density:
It is proved that all these solutions satisfy the inequalities
(
, 
) , which implies solvability of the Cauchy problem for the nonlinear Schrödinger equation with an initial function 
belonging to the closure of the set of nonreflecting potentials.
