Geodesic
Oscillating solitons of the driven, damped nonlinear Schrödinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 3, pp. 536-544 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain time-periodic solitons of the parametrically driven, damped nonlinear Schrödinger equation as solutions of the boundary value problem on a two-dimensional domain. We classify the stability and bifurcations of singly and doubly periodic solutions.
Keywords: nonlinear Schrödinger equation, parametric driving, stability, bifurcation of doubled period.
Mots-clés : Floquet multiplier 
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     author = {E. V. Zemlyanaya and N. V. Alekseeva},
     title = {Oscillating solitons of the~driven, damped nonlinear {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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E. V. Zemlyanaya; N. V. Alekseeva. Oscillating solitons of the driven, damped nonlinear Schrödinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 3, pp. 536-544. http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a18/

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