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Related papers: Varied Branches of Nondegenerate Vector Solitons

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Recently, we have shown that the Manakov equation can admit a more general class of nondegenerate vector solitons, which can undergo collision without any intensity redistribution in general among the modes, associated with distinct wave…

Pattern Formation and Solitons · Physics 2020-10-28 R. Ramakrishnan , S. Stalin , M. Lakshmanan

Nonlinear dynamics of an optical pulse or a beam continue to be one of the active areas of research in the field of optical solitons. Especially, in multi-mode fibers or fiber arrays and photorefractive materials, the vector solitons…

Pattern Formation and Solitons · Physics 2021-06-29 S. Stalin , R. Ramakrishnan , M. Lakshmanan

It is known that Manakov equation which describes wave propagation in two mode optical fibers, photorefractive materials, etc. can admit solitons which allow energy redistribution between the modes on collision that also leads to logical…

Exactly Solvable and Integrable Systems · Physics 2019-02-06 S. Stalin , R. Ramakrishnan , M. Senthilvelan , M. Lakshmanan

Families of soliton pairs, namely vector solitons, are found within the context of a coupled nonlocal nonlinear Schrodinger system of equations, as appropriate for modeling beam propagation in nematic liquid crystals. In the focusing case,…

Pattern Formation and Solitons · Physics 2016-10-07 Theodoros P. Horikis , Dimitrios J. Frantzeskakis

In this letter we report the existence of nondegenerate fundamental bright soliton solution for coupled multi-component nonlinear Schr\"{o}dinger equations of Manakov type. To derive this class of nondegenerate vector soliton solutions, we…

Pattern Formation and Solitons · Physics 2021-02-15 R. Ramakrishnan , S. Stalin , M. Lakshmanan

In this paper, we propose an alternative approach to generate a new class of beating vector solitons. Unlike earlier procedures that use dark-bright or bright-dark soliton solutions to generate beating solitons, the method described here…

Pattern Formation and Solitons · Physics 2025-10-28 S. Stalin , M. Lakshmanan

We study the dynamics of non-autonomous bright-dark matter-wave solitons in two- and three- component Bose-Einstein condensates. Our setting includes a time-dependent parabolic potential and scattering length, as well as Rabi coupling of…

Pattern Formation and Solitons · Physics 2013-11-27 T. Kanna , R. Babu Mareeswaran , F. Tsitoura , H. E. Nistazakis , D. J. Frantzeskakis

We theoretically study bright and dark solitons in an experimentally relevant hybrid system characterized by strong light-matter coupling. We find that the corresponding two-component model supports a variety of coexisting moving solitons…

Pattern Formation and Solitons · Physics 2022-10-11 A. V. Yulin , D. A. Zezyulin

We present exact multi-parameter families of soliton solutions for two- and three-component Manakov equations in the \emph{defocusing} regime. Existence diagrams for such solutions in the space of parameters are presented. Fundamental…

Pattern Formation and Solitons · Physics 2023-05-24 Wen-Juan Che , Chong Liu , Nail Akhmediev

In this paper, by considering the degenerate two bright soliton solutions of the nonlocal Manakov system, we bring out three different types of energy sharing collisions for two different parametric conditions. Among the three, two of them…

Exactly Solvable and Integrable Systems · Physics 2018-06-19 S. Stalin , M. Senthilvelan , M. Lakshmanan

In this paper, we study the dynamics of an interesting class of vector solitons in the long wave-short wave resonance interaction (LSRI) system. The model that we consider here describes the nonlinear interaction of the long-wave and…

Pattern Formation and Solitons · Physics 2022-04-20 S. Stalin , R. Ramakrishnan , M. Lakshmanan

In the present work, we numerically explore the existence and stability properties of different types of configurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and dark solitons in discrete settings,…

Pattern Formation and Solitons · Physics 2015-05-20 A. Alvarez , J. Cuevas , F. R. Romero , P. G. Kevrekidis

In recent times, bound soliton states have often been referred to as soliton molecules in the nonlinear optics literature. The striking analogies between photonic bound states and matter molecular structures in chemistry and physics have…

Pattern Formation and Solitons · Physics 2025-03-14 S. Stalin , M. Lakshmanan

In this work, we consider the dynamics of vector rogue waves and dark-bright solitons in two-component nonlinear Schr\"odinger equations with various physically motivated time-dependent nonlinearity coefficients, as well as…

Pattern Formation and Solitons · Physics 2014-10-23 R. B. Mareeswaran , E. G. Charalampidis , T. Kanna , P. G. Kevrekidis , D. J. Frantzeskakis

We have investigated mixed-gap vector solitons involving incoherently coupled fundamental and dipole components in a parity-time (PT) symmetric lattice with saturable nonlinearity. For the focusing case, vector solitons emerge from the…

Optics · Physics 2017-02-22 Lei Li , Xiaoguang Yu , Xing Zhu , Baiyuan Yang , Qianglin Hu , Xiaobing Luo

In this paper, we demonstrate the emergence of non-degenerate bright solitons and summarize their several interesting features in a completely integrable two-component long-wave-short-wave resonance interaction model with a general form of…

Pattern Formation and Solitons · Physics 2025-08-26 S. Stalin , M. Lakshmanan

In this paper, we employ a combination of analytical and numerical techniques to investigate the dynamics of lattice envelope vector soliton solutions propagating within a one-dimensional chain of flexible mechanical metamaterial. To model…

Pattern Formation and Solitons · Physics 2024-06-17 Antoine Demiquel , Vassos Achilleos , Georgios Theocharis , Vincent Tournat

Dynamics of vector dark solitons in two-component Bose-Einstein condensates is studied within the framework of the coupled one-dimensional nonlinear Schr\"odinger (NLS) equations. We consider the small amplitude limit in which the coupled…

Other Condensed Matter · Physics 2009-11-11 V. A. Brazhnyi , V. V. Konotop

We demonstrate the formation of multi-peak three-component stationary stripe vector solitons in a quasi-one-dimensional spin-orbit-coupled hyper-fine spin $F = 1$ polar Bose-Einstein condensate. The present investigation is carried out…

Quantum Gases · Physics 2020-02-19 S K Adhikari

We show that bimodal systems with a spatially nonuniform defocusing cubic nonlinearity, whose strength grows toward the periphery, can support stable two-component solitons. For a sufficiently strong XPM interaction, vector solitons with…

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