Results 41 to 50 of about 8,391 (169)

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

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

Three Different Methods for New Soliton Solutions of the Generalized NLS Equation

Abstract and Applied Analysis, 2017
Three different methods are applied to construct new types of solutions of nonlinear evolution equations. First, the Csch method is used to carry out the solutions; then the Extended Tanh-Coth method and the modified simple equation method are used to ...
Anwar Ja’afar Mohamad Jawad
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

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

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

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

The confined Muskat problem: differences with the deep water regime [PDF]

, 2013
We study the evolution of the interface given by two incompressible fluids with different densities in the porous strip $\RR\times[-l,l]$. This problem is known as the Muskat problem and is analogous to the two phase Hele-Shaw cell. The main goal of this
Gazolaz, Diego Córdoba, Granero-Belinchón, Rafael, Illera, Rafael Orive   +2 more
core   +2 more sources