Bright matter-wave bound soliton molecules in spin-1 Bose–Einstein condensates with non-autonomous nonlinearities

Sakkaravarthi, K.; Mareeswaran, R. Babu; Kanna, T.

doi:10.1016/j.physd.2023.133694

Cited by 6 publications

(3 citation statements)

References 70 publications

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“…For Λ 1 = 0, we can obtain the soliton such that F T = N T , and call it a soliton of ferromagnetic state [25,52,68]; while Λ 1 ̸ = 0, we can obtain the soliton such that F T = 0, and call it a soliton of polar state [25,52,68].…”

Section: Solitons Of Ferromagnetic State and Polar Statementioning

confidence: 99%

Soliton collisions in spin–orbit coupled spin-1 Bose–Einstein condensates

Zhao

Liu

2023

J. Phys. A: Math. Theor.

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We investigate analytically the eﬀects of spin-orbit coupling for the dynamics of soliton collisions in spin-1 Bose-Einstein condensates. Applying the non-standard Hirota’s bilinear method, we derive some exact one- and two-soliton solutions for the one-dimensional system of a spin-orbit coupled spin-1 Bose-Einstein condensate, which clearly shows how the dynamics of the solitons in spinor Bose-Einstein condensates can be engineered by spin-orbit coupling. Under spin-orbit coupling, the soliton collisions of ferromagnetic-polar type, ferromagnetic-ferromagnetic type and polar-polar type are discussed in details. Comparisons for the soliton states between the systems with and without spin-orbit coupling are displayed, a remarkable phenomenon is that the spin-orbit coupling can lead to the split of a soliton.

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Section: Solitons Of Ferromagnetic State and Polar Statementioning

confidence: 99%

Soliton collisions in spin–orbit coupled spin-1 Bose–Einstein condensates

Zhao

Liu

2023

J. Phys. A: Math. Theor.

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“…It is common knowledge that nonlinear science studies chaos, solitons, and fractals [1,2]. In several areas of nonlinear physics, including hydrodynamics [3][4][5], plasmas [6][7][8], optics [9][10][11] and Bose-Einstein condensates [12][13][14][15][16][17], the study of various nonlinear waves [18][19][20][21][22][23][24][25][26] is a significant issue. Nonlinear waves include breathers, rogue waves, and solitons.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of transformed nonlinear waves for the (2+1)-dimensional pKP-BKP equation: interactions and molecular waves

Zhang,

Zhao,

Zhang

2024

Phys. Scr.

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In this paper, the dynamical behaviors of transformed nonlinear waves for the (2+1)-dimensional combined potential Kadomtsev-Petviashvili and B-type Kadomtsev-Petviashvili (pKP-BKP) equation are investigated, which can be used to reveal the nonlinear wave phenomena in nonlinear optics, plasma physics and hydrodynamics. The breath-wave and the lump solutions are constructed by means of the soliton solutions. The conversion mechanism for the breath-waves is systematically analyzed, which leads to several new kink-shaped nonlinear waves. The gradient relationships of these transformed waves are revealed by a Riemannian circle. Through the analysis of the nonlinear superposition between the periodic wave component and the kink solitary wave component, the dynamical characteristics including the formation mechanism, oscillation and locality for the nonlinear waves are investigated. The time-varying properties of transformed waves are showed by the study of time variables. By virtue of the two breath-wave solution, several interactions including elastic and inelastic collisions between two nonlinear waves are studied. In particular, some transformed molecular waves encompassing the non-, semi- and full-transition modes are presented with the aid of velocity resonance. The results can help us further understand the complex nonlinear waves existing in the integrable systems.

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“…In general, we refer to a wave that retains its original size, shape and direction during motion or propagation, and has stability, as a soliton wave [22]. In recent years, a new topic soliton molecules has emerged in the study of solitons, which are bound states of one or more solitons [23][24][25][26][27][41][42][43] first introduced by Jimbo and Miwa [28] is the second equation of the KP hierarchy. This equation is used to describe certain interesting (3+1)-dimensional waves in physics and then discussed by many authors on its solutions [29], integrability properties [30], symmetries [31][32][33] and so on.…”

Section: Introductionmentioning

confidence: 99%

Novel soliton molecule solutions for the second extend (3+1)-dimensional Jimbo-Miwa equation in fluid mechanics

Ma,

Chen,

Deng

2023

Commun. Theor. Phys.

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The main aim of this paper is to investigate the different types of soliton molecule solutions of the second extend (3+1)-dimensional Jimbo-Miwa quation in a fluid. Four different localized waves: line solitons, breather waves, lump solutions and resonance Y-type solutions are obtained by the Hirota bilinear method directly. Furthermore, the molecule solutions consisting of only line waves, breathers or lump waves are generated by combining velocity resonance condition and long wave limit method. Also the molecule solutions such as line-breather molecule, lump-line molecule, lump-breather molecule etc.consisting of different waves are derived. Meanwhile, higher-order molecule solutions composed of only line waves are accquired. All of the above findings can be used to explain some natural phenomena in the ocean waves and nonlinear optics.

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Bright matter-wave bound soliton molecules in spin-1 Bose–Einstein condensates with non-autonomous nonlinearities

Cited by 6 publications

References 70 publications

Soliton collisions in spin–orbit coupled spin-1 Bose–Einstein condensates

Soliton collisions in spin–orbit coupled spin-1 Bose–Einstein condensates

Dynamics of transformed nonlinear waves for the (2+1)-dimensional pKP-BKP equation: interactions and molecular waves

Novel soliton molecule solutions for the second extend (3+1)-dimensional Jimbo-Miwa equation in fluid mechanics

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