# Vector rogue waves and dark-bright boomeronic solitons in autonomous and nonautonomous settings.

@article{Mareeswaran2014VectorRW, title={Vector rogue waves and dark-bright boomeronic solitons in autonomous and nonautonomous settings.}, author={R. Babu Mareeswaran and Efstathios G Charalampidis and T. Kanna and P. G. Kevrekidis and Dimitri J. Frantzeskakis}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2014}, volume={90 4}, pages={ 042912 } }

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 spatiotemporally dependent potentials. A similarity transformation is utilized to convert the system into the integrable Manakov system and subsequently the vector rogue and dark-bright boomeronlike soliton solutions of the latter are converted back into ones of the original…

## 12 Citations

### Amplification of matter rogue waves and breathers in quasi-two-dimensional Bose-Einstein condensates

- Physics
- 2016

AbstractWe construct rogue wave and breather solutions of a quasi-two-dimensional
Gross-Pitaevskii equation with a time-dependent interatomic interaction and external trap.
We show that the trapping…

### On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients

- Mathematics, Physics
- 2016

Abstract
We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients, namely diffraction, nonlinearity and gain…

### Manipulation of vector solitons in a system of inhomogeneous coherently coupled nonlinear Schrödinger models with variable nonlinearities

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2020

We investigate non-autonomous solitons in a general coherently coupled nonlinear Schrödinger (CCNLS) system with temporally modulated nonlinearities and with an external harmonic oscillator…

### Ultrafast twin-peak rogue waves in a vector field

- PhysicsOSA Continuum
- 2019

Rogue waves, which were first described as an oceanographic phenomenon, constitute an important factor in the dynamics of many physical systems. Most of these systems were analyzed by scalar fields,…

### Dynamics of Peregrine combs and Peregrine walls in an inhomogeneous Hirota and Maxwell-Bloch system

- PhysicsCommun. Nonlinear Sci. Numer. Simul.
- 2017

### Spatially modulated two- and three-component Rabi-coupled Gross–Pitaevskii systems

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2019

Vector rogue wave (RW) formation and its dynamics in Rabi-coupled two- and three-species Bose–Einstein condensates with spatially varying dispersion and nonlinearity are studied. For this purpose, we…

### Spontaneous generation of dark-bright and dark-antidark solitons upon quenching a particle-imbalanced bosonic mixture

- PhysicsPhysical Review A
- 2019

We unveil the dynamical formation of multiple localized structures in the form of dark-bright and dark-antidark solitary waves that emerge upon quenching a one-dimensional particle-imbalanced…

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