13 hasil untuk "Pinakee Dey"
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Artikel Jurnal
Soliton structures and dynamical characteristics of fractional nonlinear waves in the classical Boussinesq framework
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…
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Artikel Jurnal
Fractional-order approach to modeling and parameter study of leukemia using the laplace-adomian decomposition method
Leukemia is a type of blood cancer that originates in the bone marrow. The model incorporates susceptible blood cellsS1(t), infected blood cellsI1(t), cancer cells C1(t), immune blood cells W1(t) and cytokine C2(t). Analytical solutions are obtained using the Laplace-Adomian Decomposition Method…
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Artikel Jurnal
Fractional order effects on solitary waves and chaotic regimes in the mKdV Burgers equation
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…
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Artikel Jurnal
Mathematical insights into the comparative effectiveness of chemotherapy and T-cell therapy of leukemia
Abstract Leukemia is recognized as a type of blood cancer originating in the bone marrow and is considered a major global health concern resulting from the uncontrolled proliferation of immature white blood cells in the bloodstream. A mathematical model was developed to evaluate leukemia treatment…
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Artikel Jurnal
Analytical soliton solutions of the beta-time fractional generalized Kadomtsev-Petviashvili equation using the expansion approach
The generalized Kadomtsev-Petviashvili (gKP) model is an extension of the typical Kadomtsev-Petviashvili equation that integrates fractional derivative and atypical nonlinear terms, extending its applicability to diverse disciplines such as nonlinear optics, fluid mechanics, geophysics, and plasma…
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Artikel Jurnal
A study on fractional-order mathematical analysis for inspecting the spread of the leukemia virus
Leukemia is the name for a blood cancer that develops in the bone marrow. Leukemia is a global public health issue caused by the uncontrolled growth of immature white blood cells in the bloodstream. In this study, we consider a fractional-order five-compartment mathematical model (MM) of leukemia…
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Artikel Jurnal
Dynamics of soliton solutions, bifurcation, chaotic behavior, stability, and sensitivity analysis of the time-fractional Gardner equation
In the present article, we investigate the stability, chaos, and bifurcation analysis of an eminent nonlinear evolution equation, namely, the time-fractional Gardner equation, which is a hybrid model that includes properties of both the Korteweg–de Vries (KdV) and modified KdV equations. Exact…
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Artikel Jurnal Teks lengkap
Stability analysis, bifurcation and chaotic dynamics, and analytical soliton solutions of the modified RLW-Burgers equation using an expansion scheme
In this article, we investigate the modified regularized long wave-Burgers (RLW-Burgers) equation in the context of nonlinear wave propagation, integrating nonlinearity, dissipation, and dispersion. Using the systematic (F′/F, 1/F)-expansion approach, we construct a large class of exact soliton…
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Artikel Jurnal
Ion Acoustic Solitary Wave Solutions to mKdV-ZK Model in Homogeneous Magnetized Plasma
In this exploration, we reflect on the wave transmission of three-dimensional (3D) nonlinear electron–positron magnetized plasma, counting both hot as well as cold ion. Treated equation acquiesces to nonlinear-modified KdV-Zakharov–Kuznetsov (mKdV-ZK) dynamical 3D form. The model is integrated by…
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Artikel Jurnal
Dynamics of geometric shape solutions for space-time fractional modified equal width equation with beta derivative
The modified equal width equation describes the propagation of shallow water waves in which nonlinear and dispersive effects are significant, including phenomena such as wave breaking, soliton interactions, ion-acoustic waves, energy transfer in plasma, and nonlinear stress waves. The aim of this…
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Artikel Jurnal
Exploration and prediction of COVID-19 pandemic in Bangladesh using numerical approach
Abstract The COVID-19 pandemic has had an impact on people's health, lifestyles, and economies all over the world. The coronavirus model with a time delay effect is analyzed mathematically; however, a developing country like Bangladesh, which is a densely populated country compared to other…
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Artikel Jurnal
Soliton solutions to a wave equation using the (ϕ'/ϕ)– expansion method
This article aims to explore and examine general soliton solutions within the context of the generalized Benjamin-Bona-Mahony equation. This equation is a significant mathematical tool employed in the study of wave dynamics in ocean physics. In this paper, we investigate and generate new…
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Artikel Jurnal
Soliton solutions to generalized (3 + 1)-dimensional shallow water-like equation using the (ϕ'/ϕ,1/ϕ)-expansion method
The (3 + 1)-dimensional generalized shallow water equation is a significant mathematical framework for analyzing the dynamic behavior of waves in ocean physics. The purpose of this article is to investigate some more generic soliton solutions of the generalized shallow water-like model in three…