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Lie Symmetry Analysis and Conservation Laws of the Time-Fractional Relativistic Vlasov-Maxwell Equation in Kinetic Plasma.

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Title: Lie Symmetry Analysis and Conservation Laws of the Time-Fractional Relativistic Vlasov-Maxwell Equation in Kinetic Plasma.
Authors: Das, Sourav1 (AUTHOR) sd668587@gmail.com, Dutta, Debjit1 (AUTHOR) debjitdutta.math@gmail.com
Source: International Journal of Theoretical Physics. May2026, Vol. 65 Issue 5, p1-29. 29p.
Subjects: Plasma dynamics, Fractional differential equations, Collisionless plasmas, Conservation laws (Physics), Scientific method, Symmetry groups, Lie groups, Fractional calculus
Abstract: We investigate the time-fractional Vlasov-Maxwell equation, a fundamental model describing the interaction between charged particles and electromagnetic fields in plasma with memory effects captured by fractional time derivatives. Making use of the Lie symmetry method, we classify the symmetry vector fields and construct the one-dimensional optimal system of subalgebras, which in turn yields symmetry reductions and corresponding analytical solutions using variational iteration method(VIM). To complement these reductions, direct multiplier method is applied to derive the whole class of conservation laws associated with the equation. The results provide new insights into the structure of the time-fractional Vlasov-Maxwell equation and demonstrate the effectiveness of symmetry-based techniques in studying nonlinear plasma dynamics with anomalous diffusion. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 193085230
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  Data: Lie Symmetry Analysis and Conservation Laws of the Time-Fractional Relativistic Vlasov-Maxwell Equation in Kinetic Plasma.
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Theoretical+Physics%22">International Journal of Theoretical Physics</searchLink>. May2026, Vol. 65 Issue 5, p1-29. 29p.
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  Data: <searchLink fieldCode="DE" term="%22Plasma+dynamics%22">Plasma dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+differential+equations%22">Fractional differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Collisionless+plasmas%22">Collisionless plasmas</searchLink><br /><searchLink fieldCode="DE" term="%22Conservation+laws+%28Physics%29%22">Conservation laws (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink><br /><searchLink fieldCode="DE" term="%22Symmetry+groups%22">Symmetry groups</searchLink><br /><searchLink fieldCode="DE" term="%22Lie+groups%22">Lie groups</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink>
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  Data: We investigate the time-fractional Vlasov-Maxwell equation, a fundamental model describing the interaction between charged particles and electromagnetic fields in plasma with memory effects captured by fractional time derivatives. Making use of the Lie symmetry method, we classify the symmetry vector fields and construct the one-dimensional optimal system of subalgebras, which in turn yields symmetry reductions and corresponding analytical solutions using variational iteration method(VIM). To complement these reductions, direct multiplier method is applied to derive the whole class of conservation laws associated with the equation. The results provide new insights into the structure of the time-fractional Vlasov-Maxwell equation and demonstrate the effectiveness of symmetry-based techniques in studying nonlinear plasma dynamics with anomalous diffusion. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of International Journal of Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10773-026-06328-y
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        Text: English
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        Type: general
      – SubjectFull: Fractional differential equations
        Type: general
      – SubjectFull: Collisionless plasmas
        Type: general
      – SubjectFull: Conservation laws (Physics)
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      – SubjectFull: Scientific method
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      – SubjectFull: Symmetry groups
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      – SubjectFull: Lie groups
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      – SubjectFull: Fractional calculus
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      – TitleFull: Lie Symmetry Analysis and Conservation Laws of the Time-Fractional Relativistic Vlasov-Maxwell Equation in Kinetic Plasma.
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              M: 05
              Text: May2026
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              Y: 2026
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