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We consider solitons in a nonlinear optical fiber with a single polarization in a region of parameters where it carries exactly two distinct modes, the fundamental one and the first-order helical mode. From the viewpoint of applications to…

Pattern Formation and Solitons · Physics 2009-10-31 Boris Malomed , G. D. Peng , P. L. Chu

We derive a system of nonpolynomial Schroedinger equations (NPSEs) for one-dimensional wave functions of two components in a binary self-attractive Bose-Einstein condensate loaded in a cigar-shaped trap. The system is obtained by means of…

Other Condensed Matter · Physics 2009-11-11 Luca Salasnich , Boris A. Malomed

We develop the analytical method of field momenta for analyzing the dynamics of optical vector solitons in photorefractive nonlinear media. First, we derive the effective evolution equations for the parameters of multi-component solitons…

Pattern Formation and Solitons · Physics 2007-05-23 Ilya Shadrivov , Alexander A. Zharov

The emergence of confined structures and pattern formation are exceptional manifestations of concurring nonlinear interactions found in a variety of physical, chemical and biological systems[1]. Optical solitons are a hallmark of extreme…

Optics · Physics 2020-01-29 Felix Kurtz , Claus Ropers , Georg Herink

We study the global dynamics of the collision of two solitons having the same mass for one-dimensional Nonlinear Schr\"odinger models with multi-power nonlinearity. For any natural number k, it is verified that if the incoming speed v…

Analysis of PDEs · Mathematics 2025-05-07 Abdon Moutinho

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

The interaction of moving discrete solitons with a linear Gaussian defect is investigated. Solitons with profiles varying from hyperbolic secant to exponentially localized are considered such that the mobility of soliton is maintained; the…

Pattern Formation and Solitons · Physics 2013-07-17 Valeriy A. Brazhnyi , Chandroth P. Jisha , A. S. Rodrigues

We present experiments performed in a recirculating fiber loop in which we realize the single-shot observation of the space and time interaction of two and three bright solitons. The space-time evolutions observed in experiments provide…

Pattern Formation and Solitons · Physics 2023-06-21 François Copie , Pierre Suret , Stéphane Randoux

By means of the variational approximation (VA), a system of ordinary differential equations (ODEs) is derived to describe the propagation of antisymmetric solitons in a multi-channel (WDM) optical fiber link subject to strong dispersion…

Pattern Formation and Solitons · Physics 2015-06-26 Bao-Feng Feng , Boris A. Malomed

We investigate theoretically soliton excitations and dynamics of their formation in strongly correlated systems of ultracold bosonic atoms in two and three dimensional optical lattices. We derive equations of nonlinear hydrodynamics in the…

Quantum Gases · Physics 2015-05-27 Eugene Demler , Andrei Maltsev

We demonstrate that pulses of linear physical systems, weakly perturbed by nonlinear dissipation, exhibit soliton-like behavior in fast collisions. The behavior is demonstrated for linear waveguides with weak cubic loss and for systems…

Pattern Formation and Solitons · Physics 2017-12-06 Avner Peleg , Quan M. Nguyen , Toan T. Huynh

The article provides a survey of (chiefly, theoretical) results obtained for self-trapped modes (solitons) in various models of one-dimensional optical waveguides based on a pair of parallel guiding cores, which combine the linear…

Optics · Physics 2017-09-18 Boris A. Malomed

Solitons are localised wave disturbances that propagate without changing shape, a result of a nonlinear interaction which compensates for wave packet dispersion. Individual solitons may collide, but a defining feature is that they pass…

Quantum Gases · Physics 2014-12-10 Jason H. V. Nguyen , Paul Dyke , De Luo , Boris A. Malomed , Randall G. Hulet

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

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

We study two-dimensional soliton-soliton vector pairs in media with self-focusing nonlinearities and defocing cross-interactions. The general properties of the stationary states and their stability are investigated. The different scenarios…

Pattern Formation and Solitons · Physics 2015-05-18 A. I. Yakimenko , O. O. Prikhodko , S. I. Vilchynskyi

Interactions between solitons and the coherent oscillation structures generated by localized disturbances via modulational instability are studied within the framework of the focusing nonlinear Schrodinger equation. Two main interaction…

Pattern Formation and Solitons · Physics 2018-10-24 Gino Biondini , Sitai Li , Dionyssios Mantzavinos

Vortex-antivortex pairs in 2D easy-plane ferromagnets have characteristics of solitons in two dimensions. We investigate numerically and analytically the dynamics of such vortex pairs. In particular we simulate numerically the head-on…

Condensed Matter · Physics 2009-11-07 A. S. Kovalev , S. Komineas , F. G. Mertens

We analytically tackle opto-vibronic interactions in molecular systems driven by either classical or quantum light fields. In particular, we examine a simple model of molecules with two relevant electronic levels, characterized by potential…

Quantum Physics · Physics 2024-02-28 Q. Zhang , M. Asjad , M. Reitz , C. Sommer , B. Gurlek , C. Genes

We have developed an analytical model based on the perturbation theory in order to study the optical propagation of two successive intense solitons in hollow-core photonic crystal fibers filled with Raman-active gases. Based on the time…

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