Abstract
Weak ion-acoustic solitary waves (IASWs) in an unmagnetized quantum plasmas having two-fluid ions and fluid electrons are considered. Using the one-dimensional quantum hydrodynamics model and then the reductive perturbation technique, a generalized form of nonlinear quantum Korteweg-de Vries (KdV) equation governing the dynamics of weak ion acoustic solitary waves is derived. The effects of ion population, warm ion temperature, quantum diffraction, and polarity of ions on the nonlinear properties of these IASWs are analyzed. It is found that our present plasma model may support compressive as well as rarefactive solitary structures. Furthermore, formation and characteristics properties of IA double layers in the present bi-ion plasma model are investigated. The results of this work should be useful and applicable in understanding the wide relevance of nonlinear features of localized electro-acoustic structures in laboratory and space plasma, such as in super-dense astrophysical objects [24] and in the Earth’s magnetotail region (Parks [43]. The implications of our results in some space plasma situations are discussed.
Highlights
Ion acoustic solitary waves (IASWs), as one of the most important nonlinear excitations in plasma physics, have been studied by a number of authors in various models of plasma physics in the last few decades [2, 3, 8, 23, 30, 40, 78, 82, 86]
We present the basic equations of our theoretical model followed by discussion on Soliton solution; The m-Korteweg de Vries (KdV) Equation is derived in the subsequent section and our findings and conclusion are provided in the last section
Ion acoustic solitary waves and double layer structures are studied in a bi-ion plasma consisting of cold and warm fluid ions and quantum electrons
Summary
Ion acoustic solitary waves (IASWs), as one of the most important nonlinear excitations in plasma physics, have been studied by a number of authors in various models of plasma physics in the last few decades [2, 3, 8, 23, 30, 40, 78, 82, 86]. The linear and nonlinear quantum IA waves were investigated by Rehman [51] in a plasma with positive and negative ions and Fermi electron gas. Sahu and Singha [52] investigated the arbitrary amplitude ion acoustic solitary waves as well as double-layer structures for an ultra-relativistic degenerate dense plasma comprising cold and hot electrons and inertial ultra-cold ions. We present the basic equations of our theoretical model followed by discussion on Soliton solution; The m-KdV Equation is derived in the subsequent section and our findings and conclusion are provided in the last section
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