The Discrete Nonlinear Schrödinger Equation – 20 Years On
نویسنده
چکیده
i dAj dt + γ|Aj |Aj + ε(Aj+1 + Aj−1) = 0, (1) where i = √−1, the index j ranges over the 1D lattice. The lattice may be infinite (j = 0,±1,±2, . . .) or finite (j = 1, 2, . . . , f). In the latter case one usually assumes periodic boundary conditions, Aj+f = Aj . The quantity Aj = Aj(t) is the complex mode amplitude of the oscillator at site j, and γ is a anharmonic parameter. The connection with the continuous Nonlinear Schrödinger (NLS) equation iAt + γ|A|2A + Axx = 0 (2)
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