Vasily Yu Belashov*
Institute of Physics, Kazan Federal University, Kazan, Russia
*Corresponding Author: Vasily Yu Belashov, Institute of Physics, Kazan Federal University, Kazan, Russia.
Received: October 07, 2021; Published: December 10, 2021
The formation, structure, stability and dynamics of the multidimensional solitons forming on the low-frequency branch of oscillations in plasma for cases when and are studied. In first case, for the FMS waves are excited, and their dynamics under conditions , near the cone of , is described by the GKP equation for magnetic field with due account of the high order dispersive correction defined by values of plasma parameters and angle . In another case, the dynamics of the finite-amplitude Alfvén waves propagating near-to-parallel to B is described by the 3-DNLS equation for . To study the stability of multidimensional solitons in both cases the method of investigation of the Hamiltonian bounding with deformation conserving momentum by solving the variation problem is used. To study evolution of solitons and their collision dynamics the proper equations are integrated numerically using the codes specially developed. As a result, it was obtained that in both cases for single solitons on a level with wave spreading and collapse the formation of multidimensional solitons may be observed. These results may be also interpreted in terms of self-focusing phenomenon for the FMS and Alfvén waves’ beam as stationary beam formation, scattering and self-focusing of beam. The soliton collisions on a level with known elastic interaction can lead to formation of complex structures including the multisoliton bound states. For all cases the problem of soliton dynamics including all stages of their evolution and collision dynamics is investigated in detail.
Keywords: Plasma; GKP Equation; 3-DNLS Equation; Dynamics; 2D Solutions; 3D Solutions; Structure; Stability; Multidimensional Solitons
Citation: Shaik Sumayyah Banu., et al. “Aetiology of Meningitis in Paediatric Age Group at a Tertiary Care Centre in Hyderabad, India - A Cross Sectional Study". Acta Scientific Clinical Case Reports 2.1 (2022): 09-14.
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