Geodesic
Toward a classification of quasirational solutions of the nonlinear
Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 1, pp. 48-58 Cet article a éte moissonné depuis la source Math-Net.Ru

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Based on a representation in terms of determinants of the order $2N$, we attempt to classify quasirational solutions of the one-dimensional focusing nonlinear Schrödinger equation and also formulate several conjectures about the structure of the solutions. The se solutions can be written as a product of a $t$-dependent exponential times a quotient of two $N(N{+}1)$th degree polynomials in $x$ and $t$ depending on $2N{-}2$ parameters. It is remarkable that if all parameters are equal to zero in this representation, then we recover the $P_N$ breathers.
Keywords: nonlinear Schrödinger equation, determinant, Peregrine breather
Mots-clés : rogue wave. 
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P. Gaillard. Toward a classification of quasirational solutions of the nonlinear. Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 1, pp. 48-58. http://geodesic.mathdoc.fr/item/TMF_2016_189_1_a3/

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