Eur. Phys. J. Plus (2022) 137: 87
https://doi.org/10.1140/epjp/s13360-021-02286-y

Regular Article

Study of the existence of solitary waves structures through damped modified Gardnar equations in semiconductor plasmas

Department of Mathematics, KKM College, A Constituent Unit of Munger University, 811307, Jamui, Bihar, India

Received: 12 February 2021
Accepted: 12 December 2021
Published online: 4 January 2022

Abstract

Nonlinear damped modified Gardner equation is derived by following the multi-fluid quantum hydrodynamic model of collisional, unmagnetized semiconductor plasma with a collision of electron–phonon and electron–hole frequency. An extended version of reductive perturbation analysis is used to derive damped modified Gardner equations for compositional parameters near the critical composition. It is found that GaN semiconductor plasmas provide the required critical composition. An approximate analytical solitary wave solution is obtained, which illustrates novel nonlinear features embedded therein. The effect of the collision between electron–phonon and electron–hole frequency on the solitary wave structures is studied through the newly obtained approximate analytical solution. It is seen that collision between electron–phonon and electron–hole frequency distinguishingly modifies the structures of solitary wave solutions. Most remarkably, it is found that the collision coefficient can destroy the solitary wave structures independently.