Results 21 to 30 of about 210 (94)

Exploration of Soliton Solutions and Bifurcation Analysis in Fluid Dynamics Governed by M Fractional (3+1)‐Dimensional Generalized B‐Type Kadomtsev–Petviashvili (gBKP) Equation

Engineering Reports, Volume 8, Issue 2, February 2026.
Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar, Md. Abde Mannaf, Anika Rahman, Md. Shahinur Islam, Hure Zannatul Mawa, Parvin Akter   +5 more
wiley   +1 more source

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

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

The Dynamical Landscape of the Negative‐Order (3+1)‐Dimensional Calogero–Bogoyavlenskii–Schiff Equation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek, Jan Muhammad, Arzu Akbulut, Usman Younas, Taha Radwan, Karim K. Ahmed, Dimitri Mugnai   +6 more
wiley   +1 more source

Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage

Mathematical Methods in the Applied Sciences, Volume 48, Issue 18, Page 16433-16444, December 2025.
ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
wiley   +1 more source

Mathematical Modeling of Neuroinflammation in Neurodegenerative Diseases

CPT: Pharmacometrics &Systems Pharmacology, Volume 14, Issue 12, Page 1908-1922, December 2025.
ABSTRACT Age‐related neurodegenerative diseases such as amyotrophic lateral sclerosis (ALS), Alzheimer's disease (AD) and Parkinson's disease (PD) are an increasing public health concern. Whereas the pathology of these diseases is complex, chronic central inflammation, or neuroinflammation, is commonly observed across many neurodegenerative diseases ...
Alex Foster‐Powell, Amin Rostami‐Hodjegan, Guy Meno‐Tetang, Donald E. Mager, Kayode Ogungbenro   +4 more
wiley   +1 more source

Surviving the winds through pattern formation: Mathematical modelling of heather stripes in Scotland

Journal of Ecology, Volume 113, Issue 12, Page 3510-3521, December 2025.
Heather (Calluna vulgaris) and bare soil sometimes form striking patterns in Scottish windy environments. Our simple mathematical model shows that interactions between vegetation, soil and wind—particularly local erosion reduction by plants and upwind shelter of plants by microtopography—are sufficient to generate these self‐organised patterns and ...
Toyo Vignal, Mara Baudena, Jonathan Sherratt, Angeles G. Mayor   +3 more
wiley   +1 more source

Deterministic, stochastic, and mean-field PDE models in neuroscience. [PDF]

Front Comput Neurosci
Çetin C, Piqueira JRC, İzgi B, Peker-Dobie A, Ahmetolan S, Özkaya M.   +5 more
europepmc   +1 more source