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- W237017842 abstract "A review of a recent method is presented to construct certain exact solutions to the focusing nonlinear Schrodinger equation on the line with a cubic nonlinearity. With motivation by the inverse scattering transform and help from the state-space method, an explicit formula is obtained to express such exact solutions in a compact form in terms of a matrix triplet and by using matrix exponentials. Such solutions consist of multisolitons with any multiplicities, are analytic on the entire $xt$-plane, decay exponentially as $xtopminfty$ at each fixed $t,$ and can alternatively be written explicitly as algebraic combinations of exponential, trigonometric, and polynomial functions of the spatial and temporal coordinates $x$ and $t.$ Various equivalent forms of the matrix triplet are presented yielding the same exact solution." @default.
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- W237017842 date "2009-08-19" @default.
- W237017842 modified "2023-09-27" @default.
- W237017842 title "Exact solutions to the nonlinear Schrodinger equation" @default.
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