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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 58, Number 1, Pages 38–49
(Mi tmf4197)
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This article is cited in 8 scientific papers (total in 8 papers)
Application of inverse scattering method to singular solutions of nonlinear equations. III
V. A. Arkad'ev
Abstract:
An existence and uniqueness theorem is proved for the solution of
the Cauchy problem for the nonlinear Schrödinger equation with
repulsion in the class of functions with singularities of the type
$x^{-1}$. The behavior of the singularity lines of the solution in
the $(x,t)$ plane is described.
Received: 10.06.1983
Citation:
V. A. Arkad'ev, “Application of inverse scattering method to singular solutions of nonlinear equations. III”, TMF, 58:1 (1984), 38–49; Theoret. and Math. Phys., 58:1 (1984), 24–32
Linking options:
https://www.mathnet.ru/eng/tmf4197 https://www.mathnet.ru/eng/tmf/v58/i1/p38
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