Results 91 to 100 of about 8,441 (202)

New traveling wave solutions of modified Burgers’ equations

Partial Differential Equations in Applied Mathematics
In this work, we investigate the modified Burgers’ equations using the hyperbolic tangent–cotangent (tanh–coth) method. A main challenge addressed is the non-integer value of the parameter μ, which requires a specific transformation to facilitate ...
Osama Ala’yed
doaj   +1 more source

On the relations between some well-known methods and the projective Riccati equations

Open Physics, 2020
Solving nonlinear evolution equations is an important issue in the mathematical and physical sciences. Therefore, traditional methods, such as the method of characteristics, are used to solve nonlinear partial differential equations. A general method for
Akçağıl Şamil
doaj   +1 more source

Dynamical Analysis of Wave Solutions for the Complex Ginzburg−Landau and (4 + 1)‐Dimensional Fokas Equations With Beta Derivative

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study propounds a detailed report on the exact wave solutions of the complex fractional Ginzburg−Landau equation (CFGLE) with quadratic‐cubic law nonlinearity and (4 + 1)‐dimensional fractional Fokas equation (FFE). For this purpose, the aforementioned equations are transformed into nonlinear ordinary differential equations (NLODEs) within the ...
Özlem Kırcı, Yusuf Pandır, Yusuf Gurefe, Hussain Juya, Yongqiang Fu   +4 more
wiley   +1 more source

Pseudoconformal Thermal Metamaterials Enabled by Thickness Engineering in a Single Material

Small Structures, Volume 6, Issue 12, December 2025.
This work presents a geometric approach for thermal manipulation using confocally elliptical core–shell structures. Isotropic medium parameters for regulating the magnitude of the temperature gradient are obtained through pseudoconformal mapping and then approximated in sample fabrication via single‐material thickness engineering, avoiding the need for
Gaole Dai, Fubao Yang, Zhuo Li, Liujun Xu   +3 more
wiley   +1 more source

Low‐Loss Far‐Infrared Surface Phonon Polaritons in Suspended SrTiO3 Nanomembranes

Advanced Functional Materials, Volume 35, Issue 43, October 22, 2025.
The low‐loss, highly confined, and thickness‐tunable surface phonon polaritons are demonstrated in the far‐infrared regime within transferable freestanding SrTiO3 membranes, achieving high figures of merit comparable to the previous record values from the vdW materials.
Konnor Koons, Hans A. Bechtel, Javier Taboada‐Gutiérrez, Reza Ghanbari, Yueyin Wang, Stephanie N. Gilbert Corder, Alexey B. Kuzmenko, Ruijuan Xu, Yin Liu   +8 more
wiley   +1 more source

On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas

Contributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.
ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias, Tobias Dornheim, Jan Vorberger   +2 more
wiley   +1 more source

A vertical‐slice frontogenesis test case for compressible non‐hydrostatic dynamical cores of atmospheric models

Quarterly Journal of the Royal Meteorological Society, Volume 151, Issue 772, October 2025 Part A.
Our article presents a new vertical‐slice test case for benchmarking atmospheric dynamical cores. The test case is based on the Eady frontogenesis problem, producing sharp fronts that provide a challenge for numerical models. This was not previously possible in a 2D vertical‐slice configuration unless the model is incompressible, so our test case ...
Hiroe Yamazaki, Colin J. Cotter
wiley   +1 more source

An Adhesive Bonded Single Lap Joint Model

Fatigue &Fracture of Engineering Materials &Structures, Volume 48, Issue 10, Page 4319-4338, October 2025.
ABSTRACT This paper investigates the mechanical behavior of lap joints by modeling adhesive damage and fracture using the cohesive crack technique. To improve predictive accuracy, the study adopts a linear softening law for the adhesive shear traction‐separation response and neglects peeling effects. The main goal is to derive closed‐form solutions for
G. Cricrì, F. Penta
wiley   +1 more source

Analysis of the Generalized Ostrovsky Equation in the Propagation of Surface and Internal Waves in Rotating Fluids

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12427-12439, August 2025.
ABSTRACT The Ostrovsky equation models long, weakly nonlinear waves, explaining the propagation of surface and internal waves in a rotating fluid. The study focuses on the generalized Ostrovsky equation. Introduced by Levandosky and Liu, this equation demonstrates the existence of solitary waves through variational methods.
Sol Sáez
wiley   +1 more source

Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models

, 2011
In this article we demonstrate a recently developed technique which addresses the problem of obtaining non-universal prefactors of the correlation functions of 1D systems at zero temperature.
A. A. Abrikosov, A. Gogolin, Adilet Imambekov, Aditya Shashi, B. Sutherland, F. D. M. Haldane, I. Affleck, I. G. Macdonald, Jean-Sébastien Caux, K. B. Efetov, K. B. Efetov, M. Abramowitz, M. Gaudin, M. Jimbo, M. Takahashi, Miłosz Panfil, N. A. Slavnov, N. A. Slavnov, T. Giamarchi, V. E. Korepin, V. I. Smirnov, V. I. Smirnov, V. N. Popov, V. N. Popov, Y. Kuramoto, Z. N. C. Ha   +25 more
core   +1 more source