Nonlinear dynamical modelling of high frequency electrostatic drift waves using fluid theoretical approach in magnetized plasma

Painlev\'{e} integrability, B\"{a}cklund transformations and Wronskian solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics

“…Among them, j = −1 corresponds to the arbitrariness of the manifold ψ itself. Then we truncate Laurent Expansion (7) as follows:…”

“…Fluid mechanics has been regarded as the mechanics of liquids, gases, and plasmas, and the forces on them [1][2][3][4]. Plasma physics has been viewed as matter in its plasma phase, while plasmas have been considered as by far the most common phase of ordinary matter in the Universe, both in terms of mass and volume [5][6][7][8]. In order to investigate certain phenomena in plasmas physics, fluid mechanics and other fields, nonlinear evolution equations (NLEEs) have been constructed [9][10][11][12][13][14].…”

Orbits and chaos of a two‐fluid magnetized plasma oscillator subjected to parametric excitation with square delayed feedback

“…The numerical analysis demonstrated that the mixture composition at the exit of the discharge chamber correlates with the rate of diamond synthesis. In the framework of a plasma fluid model in an inhomogeneous magnetized plasma, Acharya and Janaki [18] derived a novel third order nonlinear evolution equation governing the dynamics of the recently observed high frequency electrostatic drift waves. Kumar and Verma [19] proposed classical Lie symmetry analysis to get a new variety of similarity solutions to a nonlinear modified Korteweg de Vries-Zakharov-Kuznetsov equation, which is often used to control the type of weakly nonlinear ion-acoustic waves in a homogeneous magnetized electron-positron plasma.…”