Evolution of solitary waves in multicomponent plasmas

Classification of Single Traveling Wave Solutions to the Generalized Kadomtsev-Petviashvili Equation without Dissipation Terms in <i>p</i> = 2

“…where 2 1. 2 2 2 2 2 2 2 2 1 4 2 2 2 2 1 2 1 2 2 1 2 2 2 2 2 1 2 2 1 1 2 2 2 2 2 2 , , 2 225 30 2 2 , , 2 30 15 15 2 2 , , 15 15…”

“…It can be used to model water waves of long wavelength with weakly nonlinear restoring forces and frequency dispersion [1]. A number of modified forms of the KP equation have been studied [2][3][4][5][6]. In [1,7], the generalized Kadomtsev-Petviashvili equation without dissipation terms was given by   Many reliable methods are used in the literature to examine the completely integrable nonlinear evolution equations.…”

“…In [1,7], the generalized Kadomtsev-Petviashvili equation without dissipation terms was given by   Many reliable methods are used in the literature to examine the completely integrable nonlinear evolution equations. The Hirota bilinear method, the Bäcklund transformation method, the inverse scattering method, the Painlevé analysis, the simplified Hirotas method established by Hereman et al [8], and others were effectively used in [1][2][3][4][5][6][7][8][9][10][11][12][13]. Liu proposed a complete discrimination system for polynomial method [10][11][12][13].…”

Multi-front waves for extended form of modified Kadomtsev-Petviashvili equation

“…For a variety of integrable nonlinear evolution equations [1][2][3][4][5][6][7] , soliton interactions are completely elastic in a sense that the soliton retains its amplitude, velocity, and shape after nonlinear collisions. However, for some other integrable equations, e.g., Burgers equations, the inelastic wave interactions may exist where fission and fusion may occur.…”

Evolution of solitons and their reflection and transmission in a plasma having negatively charged dust grains

“…Interestingly, the dust grains may acquire either negative charge or positive charge [24][25][26], but the chances are higher that the grains acquire negative charge. In most general situations, the temperature of all the electrons does not remain the same and two groups of electrons with lower and higher temperature are found in the plasmas [27][28][29]. In the two electron temperature plasmas, the characteristics of ion acoustic waves and solitons are modified [27][28][29][30][31] due to different distributions of these electrons.…”