Results 11 to 20 of about 38,572 (218)
T 3-invariant heterotic Hull-Strominger solutions
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
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Lie symmetries and reductions via invariant solutions of general short pulse equation
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
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Scaling to generalize a single solution of Richards' equation for soil water redistribution
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
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Invariant solutions to the Strominger system and the heterotic equations of motion
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
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Optimizing option pricing: Exact and approximate solutions for the time-fractional Ivancevic model
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
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Studying a Tumor Growth Partial Differential Equation via the Black–Scholes Equation
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
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Survey of Eight Modern Methods of Hamiltonian Mechanics
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
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This paper focuses on the variable coefficients geophysical KdV (VCGKdV) equation, which involves time-dependent perturbation, nonlinearity and dispersion parameters.
Rodica Cimpoiasu +2 more
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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
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Invariant Solutions and Conservation Laws of the (2 + 1)-Dimensional Boussinesq Equation
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
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