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Pinakee Dey

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Articles by Pinakee Dey

Analytical and dynamical insights into the (2 + 1) dimensional fractional mKdV Zakharov Kuznetsov framework

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By Nasir Uddin, Mahmud Alam, M. Ali Akbar, Pinakee Dey, Antajul Islam, Nasrin Nahar Rimu
| Nature Verified
Abstract Fractional nonlinear evolution equations serve as a fundamental model to capture complex phenomena with memory effects, anomalous dispersion and long-range interaction. In this study, the (2 + 1)-dimensional fractional modified Korteweg–de Vries–Zakharov–Kuznetsov (mKdV–ZK) equation is studied, and its application in the context of nonlinear wave propagation in plasma physics and other nonlinear media is discussed.
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Soliton structures and dynamical characteristics of fractional nonlinear waves in the classical Boussinesq framework - Scientific Reports

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By Pinakee Dey
| Nature Verified
Abstract This paper investigates the time–space fractional classical Boussinesq equation, a nonlinear partial differential equation that describes long-wave propagation in shallow water. The modified extended tanh function formalism yields bright and dark solitons, breather-type waves, and periodic waves. The dynamical behavior of these solutions is revealed with bifurcation theory and phase-plane analysis: stable and unstable wave profiles change, and there may be chaotic interactions among them.
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Fractional order effects on solitary waves and chaotic regimes in the mKdV Burgers equation - Scientific Reports

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By Pinakee Dey
| Nature Verified
Abstract This paper examines the space–time fractional modified Korteweg-de Vries Burgers (mKdV-Burgers) equation to address nonlinear wave dynamics of the equation through the improved F-expansion representation with the Riccati equation. The given strategy offers a methodical system of obtaining a wide category of precise analytical solutions, solitary wave solutions, kink-type solutions, periodic solutions, and rational solutions.
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