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Cole—Hopf like transformation for a class of coupled nonlinear Schrödinger equations

✍ Scribed by Kaniadakis, G.; Miraldi, E.; Scarfone, A.M.


Book ID
123479550
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
348 KB
Volume
49
Category
Article
ISSN
0034-4877

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A Class of Nonlinear Schrödinger Equatio
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We consider the nonlinear Schro dinger equation in dimension one with a nonlinearity concentrated in a finite number of points. Detailed results on the local existence of the solution in fractional Sobolev spaces H \ are given. We also prove the conservation of the L 2 -norm and the energy of the so