Volume 2, Issue 2
Numerical Study of Time-Periodic Solitons in the Damped-Driven Nls

E. V. Zemlyanaya & N.V. Alexeeva

Int. J. Numer. Anal. Mod. B, 2 (2011), pp. 248-261

Published online: 2011-02

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  • Abstract
We study localised attractors of the parametrically driven, damped nonlinear Schrödinger equation. Time-periodic solitons of this equation are obtained as solutions of the boundary-value problem on a two-dimensional domain. Stability and bifurcations of periodic solitons and their complexes is classified. We show that the bifurcation diagram can be reproduced using a few-mode approximation.
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@Article{IJNAMB-2-248, author = {E. V. Zemlyanaya and N.V. Alexeeva}, title = {Numerical Study of Time-Periodic Solitons in the Damped-Driven Nls}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2011}, volume = {2}, number = {2}, pages = {248--261}, abstract = {We study localised attractors of the parametrically driven, damped nonlinear Schrödinger equation. Time-periodic solitons of this equation are obtained as solutions of the boundary-value problem on a two-dimensional domain. Stability and bifurcations of periodic solitons and their complexes is classified. We show that the bifurcation diagram can be reproduced using a few-mode approximation.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/311.html} }
TY - JOUR T1 - Numerical Study of Time-Periodic Solitons in the Damped-Driven Nls AU - E. V. Zemlyanaya & N.V. Alexeeva JO - International Journal of Numerical Analysis Modeling Series B VL - 2 SP - 248 EP - 261 PY - 2011 DA - 2011/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/311.html KW - AB - We study localised attractors of the parametrically driven, damped nonlinear Schrödinger equation. Time-periodic solitons of this equation are obtained as solutions of the boundary-value problem on a two-dimensional domain. Stability and bifurcations of periodic solitons and their complexes is classified. We show that the bifurcation diagram can be reproduced using a few-mode approximation.
E. V. Zemlyanaya and N.V. Alexeeva. (2011). Numerical Study of Time-Periodic Solitons in the Damped-Driven Nls. International Journal of Numerical Analysis Modeling Series B. 2 (2). 248-261. doi:
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