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Effect of ion and negative ion temperatures on KdV and mKdV solitons in a multicomponent plasma
Authors:Madhukalya  B.  Das  R.  Hosseini  K.  Baleanu  D.  Hincal  E.
Affiliation:1.Department of Mathematics, Gauhati University, Guwahati, Assam, 781014, India
;2.Department of Mathematics, Arya Vidyapeeth College, Guwahati, Assam, 781016, India
;3.Department of Mathematics, Near East University TRNC, Mersin 10, Turkey
;4.Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530, Ankara, Turkey
;5.Institute of Space Sciences, Magurele-Bucharest, Romania
;6.Department of Medical Research, China Medical University, Taichung, 40447, Taiwan
;
Abstract:

The formation of ion-acoustic solitons (IASs) in an unmagnetized plasma with negative ions has been investigated through the KdV equation in both the situations (Q^{prime}left( { = m_{j} /m_{i} = {text{negative}};{text{to}};{text{positive}};{text{ion}};{text{mass}};{text{ratio}}} right)) less and greater than one and the mKdV equation only for (Q^{prime} > 1). The existence of both KdV and mKdV solitons has been established for (alpha left( { = {text{ion}};{text{to}};{text{electron}};{text{temperature}};{text{ratio}}} right); > ;beta left( { = {text{negative}};{text{ion}};{text{to}};{text{electron}};{text{temperature}};{text{ratio}}} right)) and (alpha < beta), which is the new outcome of the current investigation. Furthermore, the existence of both compressive and rarefactive solitons for (Q^{prime} > 1) and (Q^{prime} < 1) has been demonstrated.

Keywords:
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