Cylindrical Shock Waves in Space Superthermal Fluids

Nonlinearity contributions on critical MKP equation

“…Trigonometric function solution: (When υ − s/θ > 0) (48) Two-dimensional propagation of MKP solitary nonlinear IAs have been examined in a plasma mode using parameters related to the plasmas of Earth's ionosphere [16,17]. At certain mass ratio value called the criticality value, the obtained equation cannot describe mode.…”

“…where 1 and 2 are arbitrary constants. Equation (17) gives the infinite solutions of Equation ( 5), as well of Equation (1).…”

“…where is a very small value and λ is the IA speed. Sabry et al [17] examined the propagating IAWs in plasma having negative and positive fluids in addition to electrons. In the case of Maxwillian electrons, Poisson's equation reads,…”

“…On the other hand, the progress of rogue ionacoustic behaviours in many distributed electrons have been investigated [15,16]. Generally, many theoretical studies in solitary applications in natural science and space have been reported [16][17][18][19][20][21][22][23][24][25][26].…”

Effects of positron and two ion masses on the critical behaviour in superthermal collisional plasmas

“…On the other hand, various investigations indicate the significance of non-equilibrium kappa distributed charged particles in different astrophysical space modes [32][33][34][35][36]. Recently, several studies in structures of soliton have focused their importance on the use of kappa distribution enforcements [37][38][39].…”