Stability of ion-acoustic solitons in a multispecies plasma consisting of non-isothermal electrons

Abstract

A modified Kadomtsev–Petviashvili equation is derived for ion-acoustic waves in a multispecies plasma consisting of non-isothermal electrons. This equation is used to investigate the stability of modified KdV solitons against long-wavelength plane-wave perturbation using the small-k perturbation expansion method of Rowlands and Infeld. It is found that modified KdV solitons are stable.

New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method

“…Step 6. Substitute , , , and obtained in Step 5 and the general solutions of (8) into (7). Next, depending on the sign of the discriminant = 2 − 4 , we can obtain the explicit solutions of (4) immediately.…”

“…Equation 3was firstly derived by Chakraborty and Das [7]; the modified KP equation containing a square root nonlinearity is a very attractive model for the study of ionacoustic waves in a multispecies plasma made up of nonisothermal electrons in plasma physics.…”

Exact Solutions Expressible in Hyperbolic and Jacobi Elliptic Functions of Some Important Equations of Ion-Acoustic Waves

“…As m → 1, these solutions reduce to the solitary wave solutions The KdV equation in two dimensions, known as Kadomtsev Petviashivili (KP) equation [32], was derived for ion-acoustic waves in a non magnetized plasma by Kako and Rowlands [33]. Therefore the modified KP equation containing a square root nonlinearity is very attractive model for the study of ion-acoustic waves in plasma and dusty plasma [34][35][36]. Extensive work has been devoted to the study of nonlinear waves associated with the dust ion-acoustic waves, particularly the dust ion-acoustic solitary and shock waves in dusty plasmas in which dust particles are stationary and provide only the neutrality [37].…”

“…The modified KP equation (4.9) for ion-acoustic waves in a multi species plasma consisting of non-isothermal electrons have been derived by Chakraborty and Das [34]. We applied the mapping method with the ansatz solution (4.3) and the solutions of auxiliary equation (1.6) to find the solutions of equation (4.9) (see [39]).…”

Higher order stability of dust ion acoustic solitary wave solution described by the KP equation in a collisionless unmagnetized nonthermal plasma in presence of isothermal positrons

“…The small-k perturbation expansion method of Rowlands and Infeld [1][2][3][4][5] is generally used to analyse the lowest order stability of solitary wave solutions of different nonlinear evolution equations in plasmas, where k is the wave number for long-wavelength plane-wave perturbation. Several authors [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] have used this method to investigate the lowest order stability of solitary waves in plasmas with or without magnetic field.…”