Effect of ion and negative ion temperatures on KdV and mKdV solitons in a multicomponent plasma |
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Authors: | Madhukalya B Das R Hosseini K Baleanu D Hincal E |
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Institution: | 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 ; |
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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. |
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