Search Results - "Malomed, Boris A."

Experimental realisations of the fractional Schrödinger equation in the temporal domain by Liu, Shilong, Zhang, Yingwen, Malomed, Boris A., Karimi, Ebrahim

“…The fractional Schrödinger equation (FSE)—a natural extension of the standard Schrödinger equation—is the basis of fractional quantum mechanics. It can be…”
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Optical Solitons and Vortices in Fractional Media: A Mini-Review of Recent Results by Malomed, Boris A.

“…The article produces a brief review of some recent results which predict stable propagation of solitons and solitary vortices in models based on the nonlinear…”
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Creating solitons by means of spin-orbit coupling by Malomed, Boris A.

“…This mini-review collects results predicting the creation of matter-wave solitons by the spinor system of Gross-Pitaevskii equations (GPEs) with the…”
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Two-Dimensional Solitons in Nonlocal Media: A Brief Review by Malomed, Boris A.

“…This is a review addressing soliton-like states in systems with nonlocal nonlinearity. The work on this topic has long history in optics and related areas…”
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Matter-wave soliton interferometer based on a nonlinear splitter by Sakaguchi, Hidetsugu, Malomed, Boris A

“…We elaborate a model of the interferometer which, unlike previously studied ones, uses a local (δ-functional) nonlinear repulsive potential, embedded into a…”
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Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates by Li, Yongyao, Luo, Zhihuan, Liu, Yan, Chen, Zhaopin, Huang, Chunqing, Fu, Shenhe, Tan, Haishu, Malomed, Boris A

“…We study two-dimensional (2D) matter-wave solitons in spinor Bose-Einstein condensates under the action of the spin-orbit coupling and opposite signs of the…”
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Discrete and Semi-Discrete Multidimensional Solitons and Vortices: Established Results and Novel Findings by Malomed, Boris A

“…This article presents a concise survey of basic discrete and semi-discrete nonlinear models, which produce two- and three-dimensional (2D and 3D) solitons, and…”
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Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases by Mithun, Thudiyangal, Maluckov, Aleksandra, Kasamatsu, Kenichi, Malomed, Boris A., Khare, Avinash

“…Quantum droplets are ultradilute liquid states that emerge from the competitive interplay of two Hamiltonian terms, the mean-field energy and beyond-mean-field…”
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Families of stable solitons and excitations in the PT-symmetric nonlinear Schrödinger equations with position-dependent effective masses by Chen, Yong, Yan, Zhenya, Mihalache, Dumitru, Malomed, Boris A.

“…Since the parity-time-( P T -) symmetric quantum mechanics was put forward, fundamental properties of some linear and nonlinear models with P T -symmetric…”
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Topological solitonic macromolecules by Zhao, Hanqing, Malomed, Boris A., Smalyukh, Ivan I.

“…Being ubiquitous, solitons have particle-like properties, exhibiting behaviour often associated with atoms. Bound solitons emulate dynamics of molecules,…”
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Immiscible and miscible states in binary condensates in the ring geometry by Chen, Zhaopin, Li, Yongyao, Proukakis, Nikolaos P, Malomed, Boris A

“…We report detailed investigation of the existence and stability of mixed and demixed modes in binary atomic Bose-Einstein condensates with repulsive…”
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Optical vortex-antivortex crystallization in free space by Lin, Haolin, Liao, Yixuan, Liu, Guohua, Ren, Jianbin, Li, Zhen, Chen, Zhenqiang, Malomed, Boris A., Fu, Shenhe

“…Stable vortex lattices are basic dynamical patterns which have been demonstrated in physical systems including superconductor physics, Bose-Einstein…”
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Past and Present Trends in the Development of the Pattern-Formation Theory: Domain Walls and Quasicrystals by Malomed, Boris A.

“…A condensed review is presented for two basic topics in the theory of pattern formation in nonlinear dissipative media: (i) domain walls (DWs, alias grain…”
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A solvable model for symmetry-breaking phase transitions by Kumar, Shatrughna, Li, Pengfei, Zeng, Liangwei, He, Jingsong, Malomed, Boris A.

“…Analytically solvable models are benchmarks in studies of phase transitions and pattern-forming bifurcations. Such models are known for phase transitions of…”
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Vector rogue waves in spin-1 Bose–Einstein condensates with spin–orbit coupling by He, Jun-Tao, Li, Hui-Jun, Lin, Ji, Malomed, Boris A

“…Abstract We analytically and numerically study three-component rogue waves (RWs) in spin-1 Bose–Einstein condensates with Raman-induced spin–orbit coupling…”
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(INVITED) Vortex solitons: Old results and new perspectives by Malomed, Boris A.

“…A comparative review is given of some well-known and some recent results obtained in studies of two- and three-dimensional (2D and 3D) solitons, with emphasis…”
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Angular-Momentum Modes in a Bosonic Condensate Trapped in the Inverse-Square Potential by Sakaguchi, Hidetsugu, Malomed, Boris A.

“…In the mean-field approximation, the well-known effect of the critical quantum collapse in a 3D gas of particles pulled to the center by potential U(r)=−U0/2r2…”
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Vortex modes supported by spin-orbit coupling in a laser with saturable absorption by Mayteevarunyoo, Thawatchai, Malomed, Boris A, Skryabin, Dmitry V

“…We introduce a system of two component two-dimensional (2D) complex Ginzburg-Landau equations with spin-orbit-coupling (SOC) describing a wide-aperture…”
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Vortex-ring quantum droplets in a radially-periodic potential by Liu, Bin, Chen, Yi Xi, Yang, Ao Wei, Cai, Xiao Yan, Liu, Yan, Luo, Zhi Huan, Qin, Xi Zhou, Jiang, Xun Da, Li, Yong Yao, Malomed, Boris A

“…Abstract We establish stability and characteristics of two-dimensional (2D) vortex ring-shaped quantum droplets (QDs) formed by binary Bose–Einstein…”
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Two-dimensional quantum droplets in binary quadrupolar condensates by Yang, Aowei, Zhou, Jiahao, Liang, Xiaoqing, Li, Guilong, Liu, Bin, Luo, Huan-Bo, Malomed, Boris A, Li, Yongyao

“…Abstract We study the stability and characteristics of two-dimensional (2D) quasi-isotropic quantum droplets (QDs) of fundamental and vortex types, formed by…”
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