Abstract:
The degeneracy of finite-gap expressions is used to obtain a manyparameter family of smooth periodic and almost periodic solutions of the nonlinear Schrödinger equation in terms of elementary functions. A scheme for obtaining these solutions by the Darboux transformation method is considered. Propagation of a soliton on an arbitrary background is studied.
Citation:
A. R. Its, A. V. Rybin, M. A. Sall', “Exact integration of nonlinear Schrödinger equation”, TMF, 74:1 (1988), 29–45; Theoret. and Math. Phys., 74:1 (1988), 20–32
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