The nonlinear propagation of gravitational wave perpendicular to a superstrong magnetic field immersed in electron-positron pulsar plasma is considered. It is found that a weak gravitational wave resonates an effective field perturbation in the strongly magnetized pulsar plasma. The slowly varying field amplitude obeys the nonlinear Schrödinger equation, the solution of which is the dark solito...

We speculate that the universe is filled with stars composed of electromagnetic and dilaton fields. We calculate soliton-like solutions of these fields and show that their energy can be converted into a relativistic plasma in an explosive way whioch produces strong gamma-ray bursts observed in the universe. The conversion proceeds as in classical detonation theory by a relativistic self-similar...

We investigate stationary solutions for Alfv en solitons propagating obliquely in a homogeneous magnetic eld. Due to their dispersive nature kinetic Alfv en waves can evolve into soliton like structures which propagate at velocities of the order of the Alfv en velocity in a direction inclined to the magnetic eld. In the rst model we keep the plasma < m e =m i. Kinetic Alfv en solitons in this c...

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Sagdeev’s Quasipotential approach is extremely suitable for studying large amplitude solitary waves in plasma. One can derive all the one soliton results of perturbation methods and can compare it with the exact results obtained by the Quasipotential (also called the pseudopotential) method. However comparatively fewer works in relativistic plasma and plasma with trapped electrons have used thi...

We consider a new type of integrable coupled nonlinear Schrodinger (CNLS)equations proposed by our self [submitted to Phys. Plasmas (2011)]. The explicitform of soliton solutions are derived using the Hirota's bilinear method.We show that the parameters in the CNLS equations only determine the regionsfor the existence of bright and dark soliton solutions. Finally, throughthe linear stability an...

Abstract The nonlinear equation is obtained describing the dynamics of wave structures in dusty plasma above illuminated surface Moon case low frequencies and pancake-like shape packet direction along external magnetic field. This modified Zakharov – Kuznetsov equation. analytical formula for one-dimensional soliton solution derived. analysis stability was performed.

Both compressive and rarefactive solitons are found to exist in the unmagnetized dusty plasma in presence of electrons’ drift velocity ( e v ). Comparision with the earlier findings shows that the factor which is responsible for the existence both compressive and rarefactive solitons is the electrons’ drift velocity ( e v ) in the plasma. It is observed that the compressive solitons exist for...

Abstract In the present study, ion-acoustic solitary wave solutions for Kadomtsev–Petviashvili (KP) equation, potential KP and Gardner equation are constructed. The nonlinear equations studying process of waves without collisions plasma having non-isothermal electrons cold ions. Two-dimensional (IASWs) in magnetized consisting We obtained same as dark bright, kink anti-kink solitons. physical p...

A direct rational exponential scheme is offered to construct exact multi-soliton solutions of nonlinear partial differential equation. We have considered the Calogero–Bogoyavlenskii–Schiff equation and KdV equation as two concrete examples to show efficiency of the method. As a result, one wave, two wave and three wave soliton solutions are obtained. Corresponding potential energy of the solito...