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Vector Rogue Waves and Dark-bright Boomeronic Solitons in Autonomous and Non-autonomous Settings by Mareeswaran, R. B.; Charalampidis, E. G.; Kanna, T.; Kevrekidis, P. G.; Frantzeskakis, D. J. is a scholarly article available to read on EtoBox.

What is Vector Rogue Waves and Dark-bright Boomeronic Solitons in Autonomous and Non-autonomous Settings about?

In this work, we consider the dynamics of vector rogue waves and dark-bright solitons in two-component nonlinear Schr\"odinger 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.

Author

Mareeswaran, R. B.; Charalampidis, E. G.; Kanna, T.; Kevrekidis, P. G.; Frantzeskakis, D. J.

Published

2014

Language

EN