Blow-up of the solution of a nonlinear Schrödinger equation system with periodic boundary conditions
We consider a system of nonlinear Schrödinger equations with periodic boundary conditions of the form i ∂uj/∂t + D2uj = −fj (u, ū), t >= 0, x ∈ (−2, 2), uj (0, x) = uj0(x), x ∈ (−2, 2), Dkuj (t, −2) = Dkuj (t, 2), t >= 0, k = 0, 1, where D = ∂/∂x, j = 1, . . . , m, fj (u, ū) =...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2013-01-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14031 |