Interaction of two soliton waves in plasma including electrons with Kappa-Cairns distribution function

Abstract

• The nonlinear propagation of soliton waves can be expressed by different equations. • KdV equation includes the equilibrium between nonlinearity and dispersion sentences, which gives information about the soliton waves. • One of the distribution functions that has been utilized in the last few years is the C-T distribution function. • The results demonstrated that the parameters and have a great impact on phase. velocity, nonlinear and dispersive coefficients, Sagdeev potential, maximum amplitude, and width of IASWs. a q The interaction of positron acoustic soliton waves (PASWs) with the arbitrary collision angle in plasma including cold fluid positrons, stationary ions and electrons with Kappa-Cairns (K-C) distribution function have been studied. The equations of Korteweg-de Vries (KdV) and the phase shifts are obtained by employing the extended Poincaré–Lighthill–Kuo (PLK) method for the two colliding waves. The influences of parameters of the K-C distribution function ( κ and α ), the collision angle θ and the proportion of the ion (electron) and positron unperturbed densities ( β i ( β e )) on the phase shifts are investigated.