Results 11 to 20 of about 38,572 (218)

T 3-invariant heterotic Hull-Strominger solutions

open access: yesJournal 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   +2 more
doaj   +1 more source

Lie symmetries and reductions via invariant solutions of general short pulse equation

open access: yesFrontiers in Physics, 2023
Around 1880, Lie introduced an idea of invariance of the partial differential equation (PDE) under one-parameter Lie group of transformation to find the invariant, similarity, or auto-model solutions.
Muhammad Mobeen Munir   +2 more
doaj   +1 more source

Scaling to generalize a single solution of Richards' equation for soil water redistribution

open access: yesScientia Agricola, 2011
Using scaling methods, a single solution of Richards' equation (RE) will suffice for numerous specific cases of water flow in unsaturated soils. In this study, a new method is developed to scale RE for the soil water redistribution process.
Morteza Sadeghi   +4 more
doaj   +1 more source

Invariant solutions to the Strominger system and the heterotic equations of motion

open access: yesNuclear Physics B, 2017
We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections ∇ε,ρ in the anomaly cancellation equation.
Antonio Otal   +2 more
doaj   +1 more source

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

open access: yesAlexandria 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

open access: yesComputation, 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

Survey of Eight Modern Methods of Hamiltonian Mechanics

open access: yesAxioms, 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

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

open access: yesAxioms
This paper focuses on the variable coefficients geophysical KdV (VCGKdV) equation, which involves time-dependent perturbation, nonlinearity and dispersion parameters.
Rodica Cimpoiasu   +2 more
doaj   +1 more source

Health‐Related Quality of Life and Symptom Severity Among Patients With PIK3CA‐Related Overgrowth Spectrum: A Mixed‐Methods Study to Understand Real‐World Experience With Alpelisib Treatment

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu   +8 more
wiley   +1 more source

Invariant Solutions and Conservation Laws of the (2 + 1)-Dimensional Boussinesq Equation

open access: yesAbstract and Applied Analysis, 2014
Invariant solutions and conservation laws of the (2 + 1)-dimensional Boussinesq equation are studied. The Lie symmetry approach is used to obtain the invariant solutions.
Wenjuan Rui, Peiyi Zhao, Yufeng Zhang
doaj   +1 more source

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