Results 141 to 150 of about 2,810 (199)

Complex soliton wave patterns of Gross-Pitaevskii systems: application in quantum and optical engineering. [PDF]

Sci Rep
Bilal M, Alawaideh YM, Rehman SU, Popa IL, Al-Khamiseh BM, Ghannam H.   +5 more
europepmc   +1 more source

Kazdan–Warner obstructions for a fourth‐order boundary problem

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We derive Kazdan–Warner type identities for the boundary problem of prescribing nonconstant interior Q$Q$ curvature and boundary T$T$ curvature on the upper hemisphere S+4${\mathbb {S}}^{4}_{+}$ by a conformal change of the standard metric.
Sergio Cruz‐Blázquez, Azahara DelaTorre   +1 more
wiley   +1 more source

Exact solitary wave solutions and linear stability of the β-time-fractional Gardner equation in shallow water dynamics. [PDF]

Sci Prog
Elsaid Ramadan M, Ahmed HM, Radwan T, Alkhatib S, Soliman M.   +4 more
europepmc   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11775-11793, 30 July 2026.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

Novel Soliton and Periodic Wave Solutions of the (3+1)-Dimensional Shallow Water Wave Equation with Bifurcation Analysis. [PDF]

Sci Rep
Hasan WM, Ahmed HM, Ahmed AM, Rezk HM, Rabie WB.   +4 more
europepmc   +1 more source

Deep Energy Method for Large Deformation Analysis of Isotropic and Inhomogeneous Hyperelastic Ellipsoidal Pressurized Structures

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT The accurate prediction of displacement and stress fields in pressure vessels is essential for the safe and reliable design of these structures, particularly when dealing with nonlinear behavior such as that of hyperelastic functionally graded materials (FGMs).
Nasser Firouzi, Shaofan Li, Timon Rabczuk   +2 more
wiley   +1 more source

Exploring the exact solutions to the nonlinear systems with neural networks method. [PDF]

Sci Rep
Muhammad J, Tedjani AH, Hussain E, Younas U.   +3 more
europepmc   +1 more source

Neural‐Initialized Newton: Accelerating Nonlinear Finite Elements via Operator Learning

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT We propose a Newton‐based scheme, initialized by neural operator predictions, to accelerate the parametric solution of nonlinear problems in computational solid mechanics. First, a physics‐informed neural operator based on conditional neural fields or Fourier neural operators is trained to approximate the nonlinear parametric solution of the ...
Kianoosh Taghikhani, Yusuke Yamazaki, Jerry Paul Varghese, Markus Apel, Reza Najian Asl, Shahed Rezaei   +5 more
wiley   +1 more source

Mixed convective transient nanofluid flow through a vertical porous channel with entropy and Navier slip effects. [PDF]

Discov Nano
Kigodi OJ, Faisal M, Matofali AX, Badruddin IA, Zedan A, Ibrahim W.   +5 more
europepmc   +1 more source

Advancing Aquifer Characterization Through the Integration of Satellite Geodesy, Geomechanics, and Bayesian Inference

Geophysical Research Letters, Volume 53, Issue 14, 28 July 2026.
Abstract Unsustainable rates of groundwater (GW) depletion make GW management a priority. Effective GW management is hindered by the uncertainty in the predictions of aquifer models, but the increase of geodetic surface deformation data can improve aquifer characterization.
Amal Alghamdi, Marc A. Hesse, Jingyi Chen, Omar Ghattas   +3 more
wiley   +1 more source