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Riaz Ur Rahman on Muck Rack

Riaz Ur Rahman

As seen in: Wiley Online Library, MDPI
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Articles

Kink‐Type Wavefronts in Some Saturated Ferromagnetic Materials Via the Darboux Transformation

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By Riaz Ur Rahman, Jingsong He, Zaidong Li
| Wiley Online Library Verified
In this study, we develop the n-fold Darboux transformation (DT) T ^ n $$ {\hat{T}}_n $$ for the Kraenkel–Manna–Merle (KMM) integrable system designed to characterize the nonlinear dynamics of ultra-short wave pulses, especially within the saturated ferromagnetic materials. A short-wave can only propagate in the direction perpendicular to the external saturating magnetic field in some saturated ferromagnetic materials, which is called as KMM system.
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The Sensitive Visualization and Generalized Fractional Solitons’ Construction for Regularized Long-Wave Governing Model

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By Waqas Ali Faridi, Magda Abd El-Rahman, Riaz Ur Rahman, Aigul Taishiyeva
| MDPI
Abstract : The solution of partial differential equations has generally been one of the most-vital mathematical tools for describing physical phenomena in the different scientific disciplines. The previous studies performed with the classical derivative on this model cannot express the propagating behavior at heavy infinite tails.
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