General multicomponent Yajima-Oikawa system: Painlevé analysis, soliton solutions, and energy-sharing collisions

Kanna, T.; Sakkaravarthi, K.; Tamilselvan, K.

doi:10.1103/physreve.88.062921

Cited by 36 publications

(66 citation statements)

References 69 publications

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“…(3) constitute the socalled multicomponent YO (mYO) system, originally introduced in the context of many-component magnon-phonon systems [42], which generalizes the YO model [43]. This model has recently attracted considerable attention due to its variety of solutions and interesting soliton collision properties [54][55][56]. Similarly to the single-component YO model, the mYO system is completely integrable, and possesses soliton solutions of the form [54]: n ∝ −sech 2 (K s X − Ω s T ) and q 0,+1 ∝ sech(K s X − Ω s T ), where K s , Ω s are constants.…”

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confidence: 99%

“…This model has recently attracted considerable attention due to its variety of solutions and interesting soliton collision properties [54][55][56]. Similarly to the single-component YO model, the mYO system is completely integrable, and possesses soliton solutions of the form [54]: n ∝ −sech 2 (K s X − Ω s T ) and q 0,+1 ∝ sech(K s X − Ω s T ), where K s , Ω s are constants. When substituted into Eqs.…”

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Three-Component Soliton States in Spinor F=1 Bose-Einstein Condensates

et al. 2018

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Dilute-gas Bose-Einstein condensates are an exceptionally versatile testbed for the investigation of novel solitonic structures. While matter-wave solitons in one-and two-component systems have been the focus of intense research efforts, an extension to three components has never been attempted in experiments, to the best of our knowledge. Here, we experimentally demonstrate the existence of robust dark-bright-bright (DBB) and dark-dark-bright (DDB) solitons in a spinor F = 1 condensate. We observe lifetimes on the order of hundreds of milliseconds for these structures. Our theoretical analysis, based on a multiscale expansion method, shows that small-amplitude solitons of these types obey universal long-short wave resonant interaction models, namely Yajima-Oikawa systems. Our experimental and analytical findings are corroborated by direct numerical simulations highlighting the persistence of, e.g., the DBB states, as well as their robust oscillations in the trap.PACS numbers: 03.75. Mn, 03.75.Lm Solitons are localized waves propagating undistorted in nonlinear dispersive media. They play a key role in numerous physical contexts [1]. Among the various systems that support solitons, dilute-gas Bose-Einstein condensates (BECs) [2,3] provide a particularly versatile testbed for the investigation of solitonic structures [4][5][6]. In single-component BECs, solitons have been observed either as robust localized pulses (bright solitons) [7][8][9][10][11] or density dips in a background matter wave (dark solitons) [12][13][14][15][16][17][18][19][20][21], typically in BECs with attractive or repulsive interatomic interactions, respectively. Extending such studies to two-component BECs has led to rich additional dynamics. Solitons have been observed in binary mixtures of different spin states of the same atomic species, so-called pseudo-spinor BECs [22,23]. In particular, darkbright (DB) [24][25][26][27][28], and related SO(2) rotated states in the form of dark-dark solitons [29,30], have experimentally been created in binary 87 Rb BECs. Interestingly, although such BEC mixtures feature repulsive intra-and inter-component interactions, bright solitons do emerge due to an effective potential well created by the dark soliton through the intercomponent interaction [31]. Such mixed soliton states have been proposed for potential applications. Indeed, in the context of optics where these structures were pioneered [32,33], the dark soliton component was proposed to act as an adjustable waveguide for weak bright solitons [34]. In multicomponent BECs, compound solitons of the mixed type could also be used for all-matter-wave waveguiding, with the dark soliton building an effective conduit for the bright one, similar to all-optical waveguiding in optics [35]. Apart from pseudospinor BECs, such mixed soliton states have also been predicted to occur in genuinely spinorial BECs, composed of different Zeeman sub-levels of the same hyperfine state [36][37][38]. Indeed, pertinent works [39,40] have studied the existence and dynamic...

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Three-Component Soliton States in Spinor F=1 Bose-Einstein Condensates

et al. 2018

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“…Also, the dark (gray) solitons always undergo elastic collision. This study will find multifaceted applications, particularly in the context of optical computing [43], nonlinear optics [17,24,39,40,42], water wave theory [22,23] and also in multicomponent Bose-Einstein condensates [4]. …”

Section: Discussionmentioning

confidence: 99%

Multicomponent long-wave–short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons

Sakkaravarthi¹,

Kanna²,

Vijayajayanthi

et al. 2014

Phys. Rev. E

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We consider a general multicomponent (2+1)-dimensional long-wave-short-wave resonance interaction (LSRI) system with arbitrary nonlinearity coefficients, which describes the nonlinear resonance interaction of multiple short waves with a long-wave in two spatial dimensions. The general multicomponent LSRI system is shown to be integrable by performing the Painlevé analysis. Then we construct the exact bright multi-soliton solutions by applying the Hirota's bilinearization method and study the propagation and collision dynamics of bright solitons in detail. Particularly, we investigate the head-on and overtaking collisions of bright solitons and explore two types of energy-sharing collisions as well as standard elastic collision. We have also corroborated the obtained analytical one-soliton solution by direct numerical simulation. Also, we discuss the formation and dynamics of resonant solitons. Interestingly, we demonstrate the formation of resonant solitons admitting breather-like (localized periodic pulse train) structure and also large amplitude localized structures akin to rogue waves coexisting with solitons. For completeness, we have also obtained dark oneand two-soliton solutions and studied their dynamics briefly.

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“…Recently, Kanna et al have shown that the following (1+1) dimensional (i.e. one time and one space dimensions) LSRI system [8] iS j,t + δS j,xx + LS j = 0, j = 1, 2, (1a)…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [8], we have obtained the bright n-soliton solution of the above system (1) and have revealed the fact that the bright solitons can undergo two types of fascinating energy sharing collisions. Here the presence of the long wave induces nonlinear interaction between two SWs which leads to nontrivial collision behaviour.…”

Section: Introductionmentioning

confidence: 99%