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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 been observed in multi–dimensional particle in cell simulations of laser pulse interaction with the plasma. Solitons were observed in the laser irradiated pl...

We have studied the formation of relativistic solitary waves due to nonlinearinteraction of strong electromagnetic wave with the plasma wave. Here, our plasma isrelativistic both in temperature and in streaming speed. A set of equations consisting ofscalar and vector potentials together with a third order equation for the enthalpy inphoton gas plasma is obtained analytic...

Relativistic EM solitons are localized structures self-trapped by a locally modified plasma refractive index via relativistic electron mass increase and an electron density drop due to the ponderomotive force of an intense laser light [1]. A train of relativistic EM solitons is typically found to form behind the intense laser pulse front. Relativistic electromagnetic (EM) solitons in laser driv...

The solitons of affine Toda field theory are related to the spingeneralised Ruijsenaars-Schneider (or relativistic Calogero-Moser) models. This provides the sought after extension of the correspondence between the sine-Gordon solitons and the Ruijsenaars-Schneider model.

Analytical and numerical studies are presented for electron acoustic solitary wave structure in relativistic degenerate two-component unmagnetized astrophysical plasma. The existence of a wave mode of pure quantum origin is predicted. The effect of various plasma parameters on the conditions of existence and properties of solitary wave is investigated. It is shown that depending on the values o...

The relationship between the soliton dynamics provided by the classical sine-Gordon and massive Thirring models is exhibited. Solitons are characterized as classical relativistic particles through the consideration of their associated canonical realizations of the Poincare group. It is shown that the soliton in the massive Thirring model determines two different kinds of relativistic particles ...