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Stability analysis of spatiotemporal cnoidal waves in cubic nonlinear media

Autor
Aleshkevich, V.; Egorov, A.; Kartashov, Y.V.; Vysloukh, V.A.; Zelenina, A.
Tipus d'activitat
Article en revista
Revista
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Data de publicació
2003-01-01
Volum
67
Pàgina inicial
1
Pàgina final
10
DOI
https://doi.org/10.1103/PhysRevE.67.066605 Obrir en finestra nova
URL
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.67.066605 Obrir en finestra nova
Resum
We analyze numerically the modulational instability of spatiotemporal cnoidal waves of cn, dn, and sn types that are periodic along a single space coordinate and are uniform in time. The band of possible increments is calculated for all three types of cnoidal waves as a function of parameter describing the degree of localization of the wave field energy. It is shown that this band transforms into a set of discrete values for waves of cn and dn types in the limit of strong spatial localization. S...

Participants

  • Aleshkevich, Victor A.  (autor)
  • Egorov, Alexey A.  (autor)
  • Kartashov, Yaroslav V.  (autor)
  • Vysloukh, Victor A.  (autor)
  • Zelenina, Anna S.  (autor)