Supernonlinear wave and multistability in magneto-rotating plasma with (r, q) distributed electrons

Abstract

Supernonlinear ion-acoustic waves (IAWs) and their multistability are studied under the Zakharov-Kuznetsov (ZK) and modified ZK (mZK) equations in a rotating magnetized electron-ion plasma that consists of generalized (r, q)-distributed electrons. Bifurcation of IAW is presented through phase plane analysis and existence of IAW solutions is also shown through graphs of potential energy function. Supernonlinear wave exists for system corresponding to mZK equation with nonlinear periodic and solitary wave solutions. Effects of strength (q) and flatness (r) of the (r, q)-distribution on IAW solutions are shown along with other parameters, such as speed of the wave (V) and direction cosine (n). Furthermore, introducing an extraneous periodic perturbation, multistability property of the perturbed dynamical system is examined, and it is displayed using phase space and time series plots. Features of coexisting trajectories are examined for different values of spectral indices (r, q). Existence of two different types of chaos are supported through Lyapunov exponent graphs. Here, acceptable parametric values of spectral indices (r, q) are considered from data values of slow solar wind streams. Hence, supernonlinear periodic IAW and multistability property under the modified ZK equation are reported for the first time in rotating electron-ion magnetized plasma with (r, q)-distributed electrons. This study is applicable to understand supernonlinear wave features and multistability property of ion-acoustic wave motions featured in slow solar wind streams.

Small amplitude ion-acoustic solitary waves in a four-component magneto- rotating plasma with a modified Cairns-Tsallis distribution

“…In the ion-acoustic waves, inertias of the electron and positron are neglected, and the electron and positron fluids can be separately in equilibrium with an electrostatic potential j. For such a plasma model, the nonlinear dynamics of low-frequency ion-acoustic waves are governed by the following equations [1,2,5,41],…”

“…Propagation of ion acoustic solitary waves (IASWs) is usually related to the plasma compression. For this reason, more solitary wave properties are obtained from the compressive/rarefactive waves in multi-component magnetized [1][2][3][4] or unmagnetized [5][6][7] plasmas by using the pseudo potential approach and the reductive perturbation method, i.e., Korteweg-deVries (KdV) soliton [8,9], in the linear [10] and nonlinear dynamics [11,12]. It has been revealed that the KdV soliton are formed due to a balance between dispersion and nonlinearity in the plasma.…”

Formation of double-layers and super-solitons in a six-component cometary dusty plasma

“…5. It is noted that in small amplitude approximation the behavior and property of the nonlinear periodic and super-periodic waves propagating in different plasma systems are extensively studied by means of the bifurcation technique [28][29][30]. In case of arbitrary amplitude, the existence and propagation of nonlinear periodic and super-periodic solutions in our plasma system is in progress considering the impact of some relevant plasma parameters on the features of such waves.…”

“…On the other side, in some limiting cases another type of nonlinear waves called periodic and super-periodic waves arise. The occurrence of such types of waves has been extensively studied by several authors [28][29][30].…”

Interaction of electron acoustic solitons in auroral region for an electron beam plasma system

“…Lately, the critical point has also been taken care of and in such a case one obtains Gardner equation which involves both the quadratic and cubic nonlinearities. Many researchers have explored these equations and their versions in the higher dimensions in the recent past (Mannan and Mamun, 2011;Masud et al, 2012;Abdikian et al, 2020;Nawaz et al, 2021;Nawaz et al, 2022).…”