Phase Shifts Due to Head-on Collision of Electron Acoustic Waves and Production of Rogue Waves: Kappa-Deformed Kaniadakis Electrons

Abstract

The effects of electron-acoustic (EA) waves’ head-on collisions and rogue wave (RW) production are studied in a collisionless, unmagnetized plasma composed of stationary ions, deformed Kaniadakis-distributed hot electrons, and cold fluid electrons. The nonlinear Schrödinger equation is generated using the standard reductive perturbation (SRP) approach, and the Korteweg-de Vries (KdV) equations (KdVEs) and modified KdVEs (mKdVEs) are determined via the general case using the extended Poincaré-Lighthill-Kuo (ePLK) perturbation method (ePLKM). In particular, the influence of the density ratio and the deformed Kaniadakis parameter on the RW structure, the creation of EA soliton structures, and phase shifts resulting from head-on collisions are examined. The construction of EA solitons, the generation of RW, and the variations of phase shifts are found to be significantly influenced by the parameters in question. In this work, the collisions of KdV solitons show positive and negative phase shifts. Though both the positive and negative phase shifts result from the interaction of mKdV solitons and the influence of the relevant parameters, only the positive phase shifts are studied here.