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arXiv · 1407.1336

Vector rogue waves and dark-bright boomeronic solitons in autonomous and non-autonomous settings

R. B. Mareeswaran·E. G. Charalampidis·T. Kanna·P. G. Kevrekidis·D. J. Frantzeskakis
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Abstract

In this work, we consider the dynamics of vector rogue waves and dark-bright solitons in two-component nonlinear Schrödinger equations with various physically motivated time-dependent nonlinearity coefficients, as well as spatio-temporally dependent potentials. A similarity transformation is utilized to convert the system into the integrable Manakov system and subsequently the vector rogue and dark-bright boomeron-like soliton solutions of the latter are converted back into ones of the original non-autonomous model. Using direct numerical simulations we find that, in most cases, the rogue wave formation is rapidly followed by a modulational instability that leads to the emergence of an expanding soliton train. Scenarios different than this generic phenomenology are also reported.

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R. B. Mareeswaran, E. G. Charalampidis, T. Kanna, P. G. Kevrekidis, D. J. Frantzeskakis. 2014-10-22. Vector rogue waves and dark-bright boomeronic solitons in autonomous and non-autonomous settings. https://doi.org/10.1103/physreve.90.042912

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