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

Authors

R. Babu Mareeswaran, Bishop Heber College
E. G. Charalampidis, University of Massachusetts Amherst
T. Kanna, Bishop Heber College
P. G. Kevrekidis, University of Massachusetts Amherst
D. J. Frantzeskakis, University of Athens

Publication Date

2014

Journal or Book Title

Physical Review E

Abstract

In this work, we consider the dynamics of vector rogue waves and ark bright solitons in two component nonlinear Schrodinger equations with various physically motivated time dependent non linearity 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 waves 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.

Comments

This is harvested from arXiv. The published version is located at https://arxiv.org/pdf/1407.1336v2.pdf.

Pages

14

Volume

90

Recommended Citation

Mareeswaran, R. Babu; Charalampidis, E. G.; Kanna, T.; Kevrekidis, P. G.; and Frantzeskakis, D. J., "Vector rogue waves and dark bright boomeronic solitons in autonomous and non autonomous settings" (2014). Physical Review E. 1265.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1265