Results 21 to 30 of about 206 (88)

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

The GJMS operators in geometry, analysis and physics

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

Exact Soliton Dynamics and Stability Analysis of a Fractional Order Coupled Wu‐Zhang System via a Generalized Riccati−Bernoulli−Bäcklund Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To investigate the fractional coupled Wu‐Zhang system analytically, this paper uses a hybrid generalized Riccati−Bernoulli sub‐ODE scheme and Bäcklund transformation to find the exact kink, antikink, and bright‐kink soliton solutions. The dynamical properties of these solutions are discussed using Hamiltonian formulation, phase‐portrait analysis, and ...
M. Mossa Al-Sawalha, Linda Alzaben, Asıf Yokus   +2 more
wiley   +1 more source

Conservation Laws and Dynamics of Solitons to the Multicomponent Fractional Gross–Pitaevskii System: Application in the Bose–Einstein Condensation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we study the β‐fractional multicomponent Gross–Pitaevskii (G–P) system, which plays an important role in modeling Bose–Einstein condensates (BECs) and propagation in nonlinear waves. In Bose–Einstein condensation, the G–P equation is of great importance as it describes the condensate wave function’s behavior.
Naila Nasreen, Usman Younas, Muhammad Arshad, Zhaoliang Jiang, David Yaro, Smritijit Sen   +5 more
wiley   +1 more source

Traveling Wave Analysis for the Fractional ZK‐MEW Equation via Exp‐Function Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we investigate the fractional Zakharov–Kuznetsov–modified equal width (ZK‐MEW) equation, which arises in modeling nonlinear wave propagation in dispersive media such as plasma physics and nonlinear optics. While classical studies have primarily focused on integer‐order models, the incorporation of fractional derivatives allows for the ...
Ayesha Nazir, Muhammad Mustahsan, Muhammad Shahbaz, Mushtaq K. Abdalrahem, Muhammad Sajjad, Mohammad Mazyad Hazzazi, Benson Turyasingura, Smritijit Sen   +7 more
wiley   +1 more source

Optical Solitons and Analysis of Chaotic Nature for the Temporal M‐Fractional Yajima–Oikawa Model in Shortwave and Longwave

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study proposes a comprehensive study on fractional soliton solutions and chaotic nature for the temporal M‐fractional Yajima–Oikawa (YO) model in shortwave and longwave regimes. Utilizing the new Jacobian elliptic function method, the optical soliton solutions are examined with diverse categories, including kinky‐periodic wave, kink with bell wave,
Md. Mamunur Roshid, Mrityunjoy Kumar Pandit, Mahtab Uddin, Golam Mostafa, Harun-Or-Roshid, Pramita Mishra   +5 more
wiley   +1 more source

Constructing Physical Breather Solutions for the (2 + 1)‐ and (3 + 1)‐Dimensional Extended KdV and KP Systems via the Hirota Bilinear Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents an analysis of breather soliton solutions of the integrable extended KdV and KP equations in (2 + 1)‐ and (3 + 1)‐dimensional settings. Employing symbolic computation along with Hirota’s bilinear formalism, we construct positive logarithmic function solutions for the corresponding bilinear equations associated with each model. These
Ali Danladi, Ulviye Demirbilek, Taha Radwan, Karim K. Ahmed, Smritijit Sen   +4 more
wiley   +1 more source

Equivalence Class Characterizations of Near Fixed Points and Interval Ellipses in Coupled Metric and G‐Metric Spaces With Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we suggest a rigorous equivalence class description of interval ellipses and near fixed points in coupled metric and G‐metric spaces with applications. In both metric and G‐metric frameworks, we prove that the equivalence classes formed by the division of near fixed points naturally reflect their convergence to underlying fixed points ...
G. Sudhaamsh Mohan Reddy, Mohammad Sajid, Ali Allahem, Smritijit Sen   +3 more
wiley   +1 more source

β-Fractional [Formula: see text]-dimensional generalized KP model: nonlinear dynamical behaviors, analytical wave structures, bifurcation, and sensitivity analysis. [PDF]

Sci Rep
Demirbilek U, Danladi A, Akbulut A, Boulaaras S, Ahmed KK.   +4 more
europepmc   +1 more source

Long-time behaviour and bifurcation analysis of a two-species aggregation-diffusion system on the torus. [PDF]

Calc Var Partial Differ Equ
Carrillo JA, Salmaniw Y.
europepmc   +1 more source