Breathers in a~damped--driven nonlinear Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 1, pp. 4-12

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We construct time-periodic solitons of the parametrically driven damped nonlinear Schrödinger equation as solutions of a boundary value problem for the space-dependent Fourier coefficients.
Keywords: nonlinear Schrödinger equation, stability, damping, parametric driving
Mots-clés : soliton, bifurcation.
@article{TMF_2011_168_1_a0,
     author = {N. V. Alekseeva and E. V. Zemlyanaya},
     title = {Breathers in a~damped--driven nonlinear {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {4--12},
     publisher = {mathdoc},
     volume = {168},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a0/}
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N. V. Alekseeva; E. V. Zemlyanaya. Breathers in a~damped--driven nonlinear Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 1, pp. 4-12. http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a0/