Novel rogue waves in an inhomogenous nonlinear medium with external potentials

Wu, Xiaofei; Hua, Guo-Sheng; Ma, Zheng-Yi

doi:10.1016/j.cnsns.2013.05.007

Cited by 29 publications

(12 citation statements)

References 39 publications

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“…Therefore, it is of high significance to study the dynamics of RWs and breather profiles of the GP equation (1). However only few attempts have been made to identify and analyze the RWs and breather solutions of (1) [35][36][37][38][39][40]. To the best of our knowledge neither higher-order RW solutions (with certain free parameters) nor higher order breather solutions of (1) have been taken up for study.…”

Section: Introductionmentioning

confidence: 99%

Manipulating matter rogue waves and breathers in Bose-Einstein condensates

et al. 2014

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We construct higher order rogue wave solutions and breather profiles for the quasi-one-dimensional Gross-Pitaevskii equation with a time-dependent interatomic interaction and external trap through the similarity transformation technique. We consider three different forms of traps, namely (i) timeindependent expulsive trap, (ii) time-dependent monotonous trap and (iii) time-dependent periodic trap. Our results show that when we change a parameter appearing in the time-independent or time-dependent trap the second and third-order rogue waves transform into the first-order like rogue waves. We also analyze the density profiles of breather solutions. Here also we show that the shapes of the breathers change when we tune the strength of trap parameter. Our results may help to manage rogue waves experimentally in a BEC system.

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Section: Introductionmentioning

confidence: 99%

Manipulating matter rogue waves and breathers in Bose-Einstein condensates

et al. 2014

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“…For the localized solutions (13) and (17), the Poynting vector with 4 ðXÞ, which both depends on the sign of B and W 0 . From solution (13),…”

Section: Properties Of Solutions and Stabilitymentioning

confidence: 99%

Nonautonomous cnoidal wave and soliton management in parity-time symmetric potentials

Dai

Wang

2015

Communications in Nonlinear Science and Numerical Simulation

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“…Nowadays, there has been a considerable amount of attention to theoretical and experimental investigation of nonlinear localized structures [1][2][3][4][5][6]. Among these structures, two-dimensional (2D) localized modes, balanced between diffraction and nonlinearity in nonlinear media, have also been intensively studied [7,8].…”

Section: Introductionmentioning

confidence: 99%

Stable 2D localized modes in anisotropic media with harmonic and PT-symmetric potentials

Chen

2015

Communications in Nonlinear Science and Numerical Simulation

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Novel rogue waves in an inhomogenous nonlinear medium with external potentials

Cited by 29 publications

References 39 publications

Manipulating matter rogue waves and breathers in Bose-Einstein condensates

Manipulating matter rogue waves and breathers in Bose-Einstein condensates

Nonautonomous cnoidal wave and soliton management in parity-time symmetric potentials

Stable 2D localized modes in anisotropic media with harmonic and PT-symmetric potentials

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