Results 41 to 50 of about 8,378 (169)

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Extraction of soliton solutions and Painlevé test for fractional Peyrard-Bishop DNA model

Demonstratio Mathematica
The Peyrard-Bishop DNA model is investigated in this study. Two most reliable and efficient analytical techniques, the Jacobi elliptic function method, and the tanh\tanh -coth\coth method, are being employed for finding new and novel soliton solutions ...
Akram Ghazala, Arshed Saima, Sadaf Maasoomah, De la Sen Manuel, Abbas Muhammad, Hamed Yasser Salah   +5 more
doaj   +1 more source

The exact solutions of the stochastic fractional-space Allen–Cahn equation

Open Physics, 2022
The fundamental objective of this article is to find exact solutions to the stochastic fractional-space Allen–Cahn equation, which is derived in the Itô sense by multiplicative noise.
Albosaily Sahar, Mohammed Wael W., Hamza Amjad E., El-Morshedy Mahmoud, Ahmad Hijaz   +4 more
doaj   +1 more source

Improved G\u27/G-Expansion Method and Comparing with Tanh-Coth Method [PDF]

, 2011
In this paper, improved G\u27/G-expansion and tanh-coth methods for solving partial differential equations are compared. It has been shown that the tanh-coth method is a special case of the improved G\u27/G-expansion method.
Ayati, Zainab, Biazar, Jafar
core   +1 more source

Strong Coupling Limit of Bethe Ansatz Solutions in Massive Thirring Model [PDF]

, 1999
We study the strong coupling limit of the Bethe ansatz solutions in the massive Thirring model. We find analytical expressions for the energy eigenvalues for the vacuum state as well as n-particle n- hole states.
Bergknoff, Cavicchi, Dashen, Fujita, Fujita, Fujita, Gomes, H. Takahashi, Johnson, Klaiber, Nakanishi, Ogura, Schwinger, T. Fujita, T. Kake, Thirring, Zamolodchikov   +16 more
core   +3 more sources

Modeling Wind‐Driven Waves on Other Planets: Applications to Mars, Titan, and Exoplanets

Journal of Geophysical Research: Planets, Volume 131, Issue 4, April 2026.
Abstract Waves could exist on any planet with sustained winds and stable surface liquids. However, differences in atmospheres, liquids, and gravity confound efforts to extend Earth‐based empirical wave models to other planetary environments. We adapted a physics‐based numerical wave model to study how planetary conditions affect the growth of waves. We
Una G. Schneck, Charlene E. Detelich, Milan Curcic, Andrew D. Ashton, Alexander G. Hayes, J. Taylor Perron   +5 more
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Low-Energy Effective Action in Non-Perturbative Electrodynamics in Curved Spacetime

, 2009
We study the heat kernel for the Laplace type partial differential operator acting on smooth sections of a complex spin-tensor bundle over a generic $n$-dimensional Riemannian manifold. Assuming that the curvature of the U(1) connection (that we call the
Avramidi I. G., De Witt B. S., Fock V. A., Gilkey P. B., Guglielmo Fucci, Ivan G. Avramidi   +5 more
core   +1 more source

Application of the Tanh–Coth and HSI methods in deriving exact analytical solutions for the STFKS equation

Frontiers in Applied Mathematics and Statistics
The stochastic time-fractional Kuramoto–Sivashinsky (STFKS) equation models a wide range of physical phenomena involving spatio-temporal instabilities and noise-driven dynamics.
Abaker A. Hassaballa, Abaker A. Hassaballa, Elzain A. E. Gumma, Ahmed M. A. Adam, Omer M. A. Hamed, Ali Satty, Mohyaldein Salih, Faroug A. Abdalla, Zakariya M. S. Mohammed, Zakariya M. S. Mohammed   +9 more
doaj   +1 more source

Thermodynamic properties of the Dicke model in the strong-coupling regime

, 2005
We discuss the problem of a N two-level systems interacting with a single radiation mode in the strong-coupling regime. The thermodynamic properties of Dicke model are analyzed developing a perturbative expansion of the partition function in the high ...
Liberti, Giuseppe, Zaffino, Rosa Letizia
core   +1 more source