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Soliton dynamics in a large variety of longitudinally modulated lattices are studied in terms of phase space analysis for an effective particle approach and direct numerical simulations. Complex soliton dynamics are shown to depend strongly…

Pattern Formation and Solitons · Physics 2015-03-19 Panagiotis Papagiannis , Yannis Kominis , Kyriakos Hizanidis

We investigate the propagation and scattering of polaritons in a planar GaAs microcavity in the linear regime under resonant excitation. The propagation of the coherent polariton wave across an extended defect creates phase and intensity…

Ubiquitous nonlinear waves in dispersive media include localized solitons and extended hydrodynamic states such as dispersive shock waves. Despite their physical prominence and the development of thorough theoretical and experimental…

Pattern Formation and Solitons · Physics 2018-04-11 Michelle D. Maiden , Dalton V. Anderson , Nevil A. Franco , Gennady A. El , Mark A. Hoefer

In this paper we study existence and orbital stability for solitary waves of the nonlinear Klein-Gordon equation. The energy of these solutions travels as a localized packet, hence they are a particular type of solitons. In particular we…

Analysis of PDEs · Mathematics 2007-12-10 J. Bellazzini , V. Benci , C. Bonanno , A. M. Micheletti

The excitation of nonlinear electrostatic waves, such as shock and solitons, by ultraintense laser interaction with overdense plasmas and related ion acceleration are investigated by numerical simulations. Stability of solitons and…

Plasma Physics · Physics 2015-06-03 Andrea Macchi , Amritpal Singh Nindrayog , Francesco Pegoraro

The nonlinear longitudinal response of a strongly coupled dusty plasma system is analytically investigated using the Generalized Hydrodynamic (GHD) model. It is shown that the Galilean invariant form of the model does not have soliton…

Plasma Physics · Physics 2011-11-01 Amita Das , Sanat Kumar Tiwari , Predhiman Kaw , Abhijit Sen

We develop a direct method for solving a modified Camassa-Holm equation with cubic nonlinearity and linear dispersion under the rapidly decreasing vanishing boundary condition. We obtain a compact parametric representation for the…

Exactly Solvable and Integrable Systems · Physics 2015-06-17 Yoshimasa Matsuno

We investigate the existence of envelope soliton solutions in collisionless quantum plasmas, using the quantum-corrected Zakharov equations in the kinetic case, which describes the interaction between high frequency Langmuir waves and low…

Plasma Physics · Physics 2013-09-11 F. Sayed , S. V. Vladimirov , Yu. Tyshetskiy , O. Ishihara

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

We intend to introduce classically a special Lagrangian density in such a way that, firstly, it leads to a special non-topological solitary wave solution, secondly, the stability of that is guaranteed properly, and thirdly, its dominant…

Classical Physics · Physics 2019-06-20 Mohammad Mohammadi

We found the self-similar solitary solutions of a recently proposed model for propagation of pulses in gas filled hollow-core photonic crystal fibers that includes a plasma induced nonlinearity. As anticipated for a simpler model and using…

Optics · Physics 2013-10-21 M. Facao , M. I. Carvalho , P. Almeida

Relativistic solitons are self-trapped, finite size, electromagnetic waves of relativistic intensity that propagate without diffraction spreading. They have been predicted theoretically within the relativistic fluid approximation, and have…

Plasma Physics · Physics 2015-06-26 Daniela Farina , Sergei V. Bulanov

Soliton motion in some external potentials is studied using the nonlinear Schr\"odinger equation. Solitons are scattered by a potential wall. Solitons propagate almost freely or are trapped in a periodic potential. The critical kinetic…

Pattern Formation and Solitons · Physics 2009-11-10 H. Sakaguchi , M. Tamura

In recent times it has been paid attention to the fact that (linear) wave equations admit of "soliton-like" solutions, known as Localized Waves or Non-diffracting Waves, which propagate without distortion in one direction. Such Localized…

Quantum Physics · Physics 2012-05-18 Michel Zamboni-Rached , Erasmo Recami

The influence of coherent optical nonlinearities on polariton propagation effects is studied within a theory-experiment comparison. A novel approach that combines a microscopic treatment of the boundary problem in a sample of finite…

Other Condensed Matter · Physics 2009-11-11 S. Schumacher , G. Czycholl , F. Jahnke , I. Kudyk , L. Wischmeier , I. Rückmann , T. Voss , J. Gutowski , A. Gust , D. Hommel

Solitary waves, dubbed "solitons", are special types of waves that propagate for an infinite distance under ideal conditions. These waves are ubiquitously found in nature such as typhoon or neuron signals. Yet, their artificial generation…

Soft Condensed Matter · Physics 2020-07-20 Satoshi Aya , Fumito Araoka

For propagation of surface shallow-water waves on irrotational flows, we derive a new two-component system. The system is obtained by a variational approach in the Lagrangian formalism. The system has a non-canonical Hamiltonian…

Mathematical Physics · Physics 2013-05-23 Delia Ionescu-Kruse

The existence of soliton-like electromagnetic (EM) distributions in a fully degenerate electron-positron plasma is studied applying relativistic hydrodynamic and Maxwell equations. For circularly polarized wave it is found that the soliton…

Plasma Physics · Physics 2015-05-20 V. I. Berezhiani , N. L. Shatashvili , N. L. Tsintsadze

We study numerically the properties of (statistically) homogeneous soliton gas depending on soliton density (proportional to number of solitons per unit length) and soliton velocities, in the framework of the focusing one-dimensional…

Pattern Formation and Solitons · Physics 2018-10-24 A. A. Gelash , D. S. Agafontsev

Solitons are self-sustained wavepackets that occur in many physical systems. Their recent demonstration in optical microresonators has provided a new platform for study of nonlinear optical physics with practical implications for…

Optics · Physics 2018-10-24 Xu Yi , Qi-Fan Yang , Ki Youl Yang , Kerry Vahala