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Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Nonlinear studies on complex modified trapped Korteweg-de Vries burgers’ equation

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pp. 1879–1896Vol. 29Issue 6June 2026DOI: 10.47974/JIM-2322XML
Received:
01 Mar 2025
Published Online:
30 Jun 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2322
Pages:
1879–1896

Abstract

In this paper, the effect of electrons and positrons trapping on positive and negative ions are analysed in collision-less magnetised system. Relying on the widely used reductive perturbation technique (RPT), a three-dimensional (3D) modified trapped Korteweg-de Varies Burgers’ (mTKdVB) equation is governed due to the presence of trapped positrons, trapped electrons, and both kinematic as well as bulk viscosity. This study examines the influence of different parameters, such as negative ion number densities, electron ion densities, and positron ion density on dynamical and structural properties. Also, the impact of the viscosity coefficient and magnetised parameter of the small-amplitude shock waves has been examined. The current theoretical research may be helpful to understand the shock wave structure in space environments related to astrophysics such as white dwarfs, neutron stars etc.

Keywords

Subject Classifications

5235MW5227EP5227CM35Q5376X0535L67

References

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