The generalized non-linear Schrödinger model on the interval
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چکیده
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Let q(x, t) satisfy the Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation on the finite interval, 0 < x < L, with q 0 (x) = q(x, 0), g 0 (t) = q(0, t), f 0 (t) = q(L, t). Let g 1 (t) and f 1 (t) denote the unknown boundary values q x (0, t) and q x (L, t), respectively. We first show that these unknown functions can be expressed in terms of the given initial and bo...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2008
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2007.08.007