Employing quasipotential analysis, the Sagdeev potential equation has been derived in a multicomponent plasma consisting of free and trapped electrons and contaminated by the dust charged grains forming therein by the attachment of electrons to finite-size dust particles. Because of the free and trapped electrons in the dusty plasma, the plasma-acoustic wave exhibits the different features of various solitary waves. The Sagdeev potential equation, at a small-amplitude approximation, leads to the evaluation, by a proposed new formalism of a simple wave solution technique, of the new scenario of solitary wave propagation in a dusty plasma. It has been shown that the ordering of the nonisothermality in the dusty plasma also plays a unique role. In the case of a plasma with first-order nonisothermality, the Sagdeev potential equation derives the compressive solitary wave propagation, while for plasma with higher-order nonisothermality the method might fail to solve the Sagdeev potential equation and, thus, an alternate method is used to reveal the coexistence of compressive and rarefactive solitary waves. In addition, for certain plasma parameters, the solitary waves disappear and a double layer is expected. Again, with the better approximation in the Sagdeev potential, more features of solitary waves, known as spiky and explosive, along with the double layers, are also highlighted. The observations made of the solitary waves could be of further interest in the understanding of laboratory and space plasmas.
A new mathematical approach for finding the solitary waves in dusty plasma
In sequel to earlier observations on soliton dynamics in the plasmas, a few more features on solitons and double layers have been studied in a nonisothermal plasma conceiving multi-temperature electrons. The basic equations governing the plasma dynamics, based on quasipotentid analysis, are first reduced to an energy integral equation known as Sagdeev potential equation, to elucidates the salient features plarma of acoustic modes associating to those furthered in laboratory and space plasmas. The Sagdeev potential equation, under small amplitude approximation derives various kinds of Korteweg deVries (K-dV) equations in nonisothermal plasma and is solved by employing a modified approach of simple wave solution technique called as tanh-method. The analyses show, under certain conditions, the remarkable properties of soliton propagation and double layers of compressive and rarefactive nature in the plasmas. The outcome of the observations could be of interest further in understanding the features of various plasma acoustic waves in laboratory and space plasmas.
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