KBM approach to electron acoustic envelope soliton in viscous astrophysical plasma

Abstract

Modulation instability (MI) of envelope soliton is studied in an unmagnetized viscous plasma. Using Krylov-Bogoliubov Mitropolsky (KBM) method, the nonlinear Schrödinger equation (NLSE) is obtained, and the growth rate of modulationally unstable electron acoustic wave in such plasma is discussed. The solution of the electron-acoustic envelope-solitons is obtained from the Nonlinear Schrödinger equation. The hypothetical outcomes have been examined mathematically for various parameters of plasma, and the outcomes are introduced graphically. This theoretical investigation can be experienced experimentally with certain modification of the experiment had been performed by Ikezawa and Nakamura []. Our outcomes might be material for the investigation of nonlinear wave measures in relativistic thick plasmas of astrophysical articles, to be specific, in dwarfs and neutron stars.

Investigation of dust ion acoustic shock and solitary waves in a viscous dusty plasma

“…This law of force is known as 'Newton's law of viscosity'. In equations (2) and (3), the viscosity we use is the kinematic viscosity as we mentioned earlier and this is basically the ratio between absolute viscosity (μ) and fluid mass density (n), this is previously discussed by Goswami and Sarkar [39].…”

“…Then equation (33) transforms into the same form as equation (39) with a different F. This type of numerical solution for the KdVB equation is quite new. The solution of it following this procedure is given in Appendix A.2.…”

Differences between two methods to derive a nonlinear Schrödinger equation and their application scopes

“…It is worth noting that there are multiple methods available to obtain NLSE, such as the reductive perturbation method, [51][52][53] Krylov-Bogoliubov-Mitropolsky (KBM) method, [54][55][56] canonical transformation method, [57] inverse scattering transform method, [58] and so on.…”

Resonant NLSE in the presence of spatio-temporal and intermodal dispersion is dominated by a myriad of nonlinearities

“…As it is known, the nonlinear Schrödinger equation (NLSE) is one of the equations applied to many physical problems in many fields. Such as quantum, atomic, water wave systems, plasma physics [1], nonlinear optics, etc. When this is the case, the most basic problem encountered is the formation of perturbations that cannot be integrated.…”

“…As it is well-known that the linear response of a medium to an electrical field described by P = ε 0 χ (1) E, which P, E, χ represent the polarization, electric field and linear response, respectively. If the strength of the applied electric field increases, the linear relationship given by P = ε 0 χ (1) E has to be generalized as, ( )…”