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Muhammad Yaqoob Khan
Department of Mathematics, Riphah International University, Islamabad, Pakistan
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ICCK Contributions

Open Access | Research Article | 29 October 2025
Electrostatic Freak Waves in Pair-Ion and Pair-Ion-Electron Plasmas
ICCK Journal of Applied Mathematics | Volume 1, Issue 3: 120-128, 2025 | DOI: 10.62762/JAM.2025.698605
Abstract
This work investigates the formation and dynamics of electrostatic freak waves in pair-ion (PI) and pair-ion--electron (PIE) plasmas. The analysis begins with the derivation of the Korteweg--de Vries (KdV) equations for both plasma configurations, from which the corresponding nonlinear and dispersive coefficients are obtained. By employing the wave superposition principle, the KdV equations are systematically reduced to the nonlinear Schrödinger equation (NLSE), enabling the exploration of modulation instability and rogue wave generation. Analytical solutions of the NLSE are utilized to construct parametric plots that elucidate the evolution of freak waves in PI and PIE plasmas. Comparative... More >

Graphical Abstract
Electrostatic Freak Waves in Pair-Ion and Pair-Ion-Electron Plasmas