Results 21 to 30 of about 38,858 (265)

T 3-invariant heterotic Hull-Strominger solutions

Journal of High Energy Physics, 2021
We consider the heterotic string on Calabi-Yau manifolds admitting a Strominger-Yau-Zaslow fibration. Upon reducing the system in the T 3-directions, the Hermitian Yang-Mills conditions can then be reinterpreted as a complex flat connection on ℝ3 ...
Bobby Samir Acharya, Alex Kinsella, Eirik Eik Svanes   +2 more
doaj   +1 more source

Optimizing option pricing: Exact and approximate solutions for the time-fractional Ivancevic model

Alexandria Engineering Journal, 2023
This research investigates the time fractional Ivancevic option pricing model and presents two distinct solution methods: the invariant subspace method for obtaining exact solutions and the residual power series method for generating approximate ...
Khalid K. Ali, M.A. Maaty, M. Maneea
doaj   +1 more source

Studying a Tumor Growth Partial Differential Equation via the Black–Scholes Equation

Computation, 2020
Two equations are considered in this paper—the Black–Scholes equation and an equation that models the spatial dynamics of a brain tumor under some treatment regime. We shall call the latter equation the tumor equation.
Winter Sinkala, Tembinkosi F. Nkalashe
doaj   +1 more source

Group-Invariant Solutions of Differential Equations [PDF]

SIAM Journal on Applied Mathematics, 1987
The authors describe a general approach to group-invariant solutions of partial differential equations. They introduce the concept of a ''weak symmetry group'' of a system of partial differential equations and show how, in principle, to construct group-invariant solutions for any group of transformations by reducing the number of variables in the ...
Olver, Peter J., Rosenau, Philip
openaire   +1 more source

Invariant solutions for the Einstein field equation [PDF]

Journal of Mathematical Physics, 2018
In this paper, we provide a method capable of producing an infinite number of solutions for Einstein’s equation on static spacetimes with perfect fluid as a matter field. All spacetimes of this type which are symmetric with respect to a given group of translations and whose spatial factor is conformally flat are characterized.
Barboza, Marcelo, Leandro, Benedito, Pina, Romildo   +2 more
openaire   +2 more sources

The Compatibility of Some Integrability Methods and Related Solutions for the Variable Coefficients Geophysical KdV Model

Axioms
This paper focuses on the variable coefficients geophysical KdV (VCGKdV) equation, which involves time-dependent perturbation, nonlinearity and dispersion parameters.
Rodica Cimpoiasu, Radu Constantinescu, Corina Nicoleta Babalic   +2 more
doaj   +1 more source

Survey of Eight Modern Methods of Hamiltonian Mechanics

Axioms, 2021
Here we describe eight new methods, arisen in the last 60 years, to study solutions of a Hamiltonian system with n degrees of freedom. The first six of them are intended for systems with small parameters or without them.
Alexander D. Bruno, Alexander B. Batkhin
doaj   +1 more source

Explicit Solutions of the Invariance Equation for Means [PDF]

Results in Mathematics, 2016
Extending the notion of projective means we first generalize an invariance identity related to the Carlson log given in a recent paper of P. Kahlig and J. Matkowski, and then, more generally, given a bivariate symmetric, homogeneous and monotone mean M, we give explicit formula for a rich family of pairs of M-complementary means.
Matkowski, Janusz, Nowicka, Monika, Witkowski, Alfred   +2 more
openaire   +2 more sources

GROUP-INVARIANT SOLUTIONS, NON-GROUP-INVARIANT SOLUTIONS AND CONSERVATION LAWS OF QIAO EQUATION

Journal of Applied Analysis & Computation, 2019
Summary: This paper considers a completely integrable nonlinear wave equation which is called Qiao equation. The equation is reduced via Lie symmetry analysis. Two classes of new exact group-invariant solutions are obtained by solving the reduced equations.
Shi, Jianping, Zhou, Mengmeng, Fang, Hui
openaire   +2 more sources

Personalized Zebrafish Models for Fusion‐Positive Pediatric Sarcomas

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Clinical sequencing efforts have revolutionized our approaches to categorizing pediatric cancers in real time. This has dramatically improved our ability to profile pediatric tumors, identify actionable vulnerabilities, and influence clinical care.
Lisa H. Hall, Emma N. Harrison, Genevieve C. Kendall   +2 more
wiley   +1 more source