Modulational instability of dark solitons in three wave resonant interaction

PHYSICA D-NONLINEAR PHENOMENA

卷:240

Article

Conforti, Matteo¹  Baronio, Fabio¹  Degasperis, Antonio^2,3 

[1] Univ Brescia, Consorzio Interuniv Sci Fis Mat, I-25123 Brescia, Italy

[2] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

[3] Univ Roma La Sapienza, Ist Nazl Fis Nucl, I-00185 Rome, Italy

关键词: Three wave resonant interaction;    Dark solitons;    Stability;    Nonlinear optics;   

DOI  :  10.1016/j.physd.2011.05.017

来源: Elsevier

【 摘 要 】

We study the propagation of velocity-locked dark triplet solitons in the three wave resonant interaction model. The modulational instability of the plane wave background where the solitons sit prevents the long range propagation. However even a small second order dispersion proves to greatly reduce, or suppress, the modulational instability gain, allowing for effective stable soliton propagation. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free