Exact solutions to the focusing nonlinear Schrodinger equation

Details Exact solutions to the focusing nonlinear Schrodinger equation Exact solutions to the focusing nonlinear Schrodinger equation

2007-02-07

arxiv.org/abs/nlin/0702010v2

Inverse Problems 23 (2007), no. 5, 2171-2195

Nonlinear Sciences

Exactly Solvable and Integrable Systems

60 pages, 18 figures

Scientific paper

10.1088/0266-5611/23/5/021

A method is given to construct globally analytic (in space and time) exact solutions to the focusing cubic nonlinear Schrodinger equation on the line. An explicit formula and its equivalents are presented to express such exact solutions in a compact form in terms of matrix exponentials. Such exact solutions can alternatively be written explicitly as algebraic combinations of exponential, trigonometric, and polynomial functions of the spatial and temporal coordinates.

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