Academic Journal

Semirational and symbiotic self-similar rogue waves in a (2+1)-dimensional graded-index waveguide.

التفاصيل البيبلوغرافية
العنوان: Semirational and symbiotic self-similar rogue waves in a (2+1)-dimensional graded-index waveguide.
المؤلفون: De, Kanchan Kumar, Raju, Thokala Soloman, Kumar, C. N., Panigrahi, Prasanta K.
المصدر: Journal of Modern Optics; Jul2016, Vol. 63 Issue 12, p1196-1204, 9p
مصطلحات موضوعية: ROGUE waves, GRADIENT index optics, WAVEGUIDES, SOLITONS, SCHRODINGER equation
مستخلص: We have investigated the ()-dimensional variable coefficient-coupled nonlinear Schrödinger equation (vc-CNLSE) in a graded-index waveguide. Similarity transformations are used to convert the vc-CNLSE into constant coefficient CNLSE. Under certain functional constraints we could extract semirational, multi-parametric solution of the associated Manakov system. This family of solutions include known Peregrine soliton, mixture of either bright soliton and rogue wave or dark soliton and rogue wave or breather and rogue wave. Under a distinct set of self-phase modulation and cross-phase modulation coefficients we could establish symbiotic existence of different soliton pairs as solutions. These soliton pairs may constitute of one bright and a dark soliton, two bright solitons or two dark solitons. Finally, when two wave components are directly proportional, we find bright and dark similaritons, self-similar breathers, and rogue waves as different solutions. [ABSTRACT FROM AUTHOR]
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قاعدة البيانات: Complementary Index
الوصف
تدمد:09500340
DOI:10.1080/09500340.2015.1118567