Journal
PHYSICS LETTERS A
Volume 380, Issue 40, Pages 3244-3252Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2016.07.064
Keywords
Coherently coupled Gross-Pitaevskii equation; Similarity transformation; Solitons; Rogue waves; Breathers (Ma and Akhmediev)
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Funding
- Science and Engineering Research Board, Department of Science and Technology (DST-SERB), Government of India [EMR/2015/00140]
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We study the dynamics of superposed nonlinear waves in coherently coupled Gross-Pitaevskii (CCGP) equations with constant (autonomous system) and time varying (non-autonomous system) nonlinearity coefficients. By employing a linear transformation, the autonomous CCGP system is converted into two separate scalar nonlinear Schrodinger equations and we show that linear superposition of different nonlinear wave solutions of these scalar equations results into several kinds of nonlinear coherent structures namely, coexisting rogue wave-Ma breather, Akhmediev-Ma breathers, collision and bound states of Ma breathers and solitons. Next, the non-autonomous CCGP system is converted into an autonomous CCGP system with a similarity transformation. We show an interesting possibility of soliton compression and appearance of creeping solitons for kink-like and periodically modulated nonlinearity coefficient. (C) 2016 Elsevier B.V. All rights reserved.
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