Taming rogue waves in vector Bose-Einstein condensates

“…Motivated by this, several studies have also been undertaken to identify the localized solutions in coupled NLS equations with constant coefficients [33,34,35,36,37,38,39,40,41,42,43]. Subsequently attempts have been made to identify the localized solutions such as bright-bright, bright-dark, dark-dark soliton and RW solutions in the coupled vcNLS equations (in one-dimensions) [44,45,46,47,48,49,50,51]. Very recently attempts have been made to identify RW and breather solutions in the (2+1)-dimensional coupled vcNLS equations [52,53].…”

Section: Introductionmentioning

confidence: 99%

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

2016

View full text Add to dashboard Cite

Abstract. We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients, namely diffraction, nonlinearity and gain parameters through similarity transformation technique. We transform the two-dimensional two coupled variable coefficients nonlinear Schrödinger equations into Manakov equation with a constraint that connects diffraction and gain parameters with nonlinearity parameter. We investigate the characteristics of the constructed vector rogue wave solutions with four different forms of diffraction parameters. We report some interesting patterns that occur in the rogue wave structures. Further, we construct vector dark rogue wave solutions of the two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients and report some novel characteristics that we observe in the vector dark rogue wave solutions.

show abstract

“…Followed by this study, some further interesting studies of the nonautonomous NLS models with external potentials have also been made [24][25][26]. Several works have been exclusively devoted to construct soliton, RW and breather solutions of onecomponent BECs [25][26][27][28][29][30][31] and a few studies have been made to identify the vector soliton and RW solutions of two coupled Gross-Pitaevskii equation (GPE) [32][33][34][35][36][37]. Dynamical evolutions of vector solitons and RWs have been investigated through managing related physical variables, see Refs.…”

Section: Introductionmentioning

confidence: 95%

Manipulating localized matter waves in multicomponent Bose-Einstein condensates

et al. 2016

View full text Add to dashboard Cite

We analyze vector localized solutions of two-component Bose-Einstein condensates (BECs) with variable nonlinearity parameter and external trap potential through similarity transformation technique which transforms the two coupled Gross-Pitaevskii equations into a pair of coupled nonlinear Schrödinger equations with constant coefficients under a specific integrability condition. In this analysis we consider three different types of external trap potentials: a time-independent trap, a time-dependent monotonic trap, and a time-dependent periodic trap. We point out the existence of different interesting localized structures, namely rogue waves, dark-and bright soliton-rogue wave, and rogue wave-breather-like wave for the above three cases of trap potentials. We show how the vector localized density profiles in a constant background get deformed when we tune the strength of the trap parameter. Further we investigate the nature of the trajectories of the nonautonomous rogue waves. We also construct the dark-dark rogue wave solution for repulsive-repulsive interaction of two-component BECs and analyze the associated characteristics for the three different kinds of traps. We then deduce single, two and three composite rogue waves for three component BECs and discuss the correlated characteristics when we tune the strength of the trap parameter for different trap potentials.

show abstract

Taming rogue waves in vector Bose-Einstein condensates

Cited by 44 publications

References 29 publications

Rogue waves for a long wave–short wave resonance model with multiple short waves

Rogue waves for a long wave–short wave resonance model with multiple short waves

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

Manipulating localized matter waves in multicomponent Bose-Einstein condensates

Contact Info

Product

Resources

About