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We study nonlinear waves on a plane-wave background in an erbium-doped fiber system, which is governed by the coupled nonlinear Schr\"odinger and the Maxwell-Bloch equations. We find that prolific different types of nonlinear localized and…

Pattern Formation and Solitons · Physics 2016-01-14 Yang Ren , Zhan-Ying Yang , Chong Liu , Wen-Li Yang

Wecritically review the recent progress in understanding soliton propagation in birefringent optical fibers.By constructing the most general bright two-soliton solution of the integrable coupled nonlinear Schroedinger equation (Manakov…

Exactly Solvable and Integrable Systems · Physics 2019-08-17 M. Lakshmanan , T. Kanna , R. Radhakrishnan

We study symmetric and asymmetric optical multi-peak solitons on a continuous wave background in the femtosecond regime of a single-mode fiber. Key characteristics of such multi-peak solitons, as the formation mechanism, propagation…

Pattern Formation and Solitons · Physics 2016-11-02 Chong Liu , Zhan-Ying Yang , Li-Chen Zhao , Liang Duan , Guangye Yang , Wen-Li Yang

We study multi-peak solitons \textit{on a plane-wave background} in an erbium-doped fiber system with some higher-order effects, which is governed by a coupled Hirota and Maxwel-Bloch (H-MB) model. The important characteristics of…

Pattern Formation and Solitons · Physics 2017-08-15 Yang Ren , Zhan-Ying Yang , Chong Liu , Wen-Hao Xu , Wen-Li Yang

Soliton interactions in systems modelled by coupled nonlinear Schroedinger (CNLS) equations and encountered in phenomena such as wave propagation in optical fibers and photorefractive media possess unusual features : shape changing…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 T. Kanna , M. Lakshmanan

In this work, we show that collisions of one type of nonlinear wave can lead to generation of a different kind of nonlinear wave. Specifically, we demonstrate the formation of topological solitons (or transition waves) via collisions of…

Applied Physics · Physics 2023-08-16 Hiromi Yasuda , Hang Shu , Weijian Jiao , Vincent Tournat , Jordan R. Raney

We investigate linear interference effects between a nonlinear plane wave and bright solitons, which are admitted by pair-transition coupled two-component Bose-Einstein condensate. We demonstrate the interference effects can induce several…

Quantum Gases · Physics 2018-02-07 Y. H. Qin , L. C. Zhao , Z. Y. Yang , W. L. Yang

We study the AB system describing marginally unstable baroclinic wave packets in geophysical fluids and also ultra-short pulses in nonlinear optics. We show that the breather can be converted into different types of stationary nonlinear…

Pattern Formation and Solitons · Physics 2016-01-27 Lei Wang , Zi-Qi Wang , Jian-Hui Zhang , Feng-Hua Qi , Min Li

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

The novel dynamical features underlying soliton interactions in coupled nonlinear Schr{\"o}dinger equations, which model multimode wave propagation under varied physical situations in nonlinear optics, are studied. In this paper, by…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 T. Kanna , M. Lakshmanan

Under investigation in this paper is the higherorder nonlinear Schrodinger and Maxwell-Bloch (HNLSMB) system which describes the wave propagation in an erbium-doped nonlinear fiber with higher-order effects including the fourth-order…

Pattern Formation and Solitons · Physics 2016-02-02 Lei Wang , Shen Li , Feng-Hua Qi

The hybridization of light and matter excitations in the form of polaritons has enabled major advances in understanding and controlling optical nonlinearities. Entering the quantum regime of strong interactions between individual photons…

A novel kind of shape changing (intensity redistribution) collision with potential application to signal amplification is identified in the integrable $N$-coupled nonlinear Schr{\"o}dinger (CNLS) equations with mixed signs of focusing and…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 T. Kanna , M. Lakshmanan , P. Tchofo Dinda , Nail Akhmediev

The intimate interaction between phase-matched parametric amplification and strong nonlinear mode coupling in a multimode optical fiber results in a saturable spatial mode conversion that appears to violate the conservation of momentum. We…

Optics · Physics 2017-06-05 Hamed Pourbeyram , Arash Mafi

We present the explicit dark-bright three soliton solution and the associated spectral problem for the variable coefficient integrable coupled NLS equation. Using asymptotic analysis as well as graphical analysis we study the interactions…

Exactly Solvable and Integrable Systems · Physics 2017-12-01 Sudipta Nandy , Abhijit Barthakur

The interaction between two co-propagating electrostatic wavepackets characterized by arbitrary carrier wavenumber is considered. A one-dimensional (1D) non-magnetized plasma model is adopted, consisting of a cold inertial ion fluid…

Plasma Physics · Physics 2024-03-26 N. Lazarides , Giorgos P. Veldes , Amaria Javed , Ioannis Kourakis

In this paper, we discus the fascinating energy sharing collisions of multicomponent solitons in certain incoherently coupled and coherently coupled nonlinear Schr\"odinger type equations arising in the context of nonlinear optics.

Pattern Formation and Solitons · Physics 2015-12-04 T Kanna , K Sakkaravarthi , M Vijayajayanthi

We show that very large nonlocal nonlinear interactions between pairs of colliding slow-light pulses can be realized in atomic vapors in the regime of electromagnetically induced transparency. These nonlinearities are mediated by strong,…

Quantum Physics · Physics 2007-05-23 Inbal Friedler , David Petrosyan , Michael Fleischhauer , Gershon Kurizki

We investigate numerically by a conservative difference scheme in complex arithmetic the head-on and takeover collision dynamics of the solitary waves as solutions of linearly Coupled Nonlinear Schr\"odinger Equations for various initial…

Dynamical Systems · Mathematics 2014-08-28 Michail D Todorov

Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and collective processes, the evolution of an intense sheet beam propagating through a periodic focusing field has been studied. In an earlier…

Accelerator Physics · Physics 2007-05-23 Stephan I. Tzenov , Ronald C. Davidson
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