Results 21 to 30 of about 546,512 (289)
Negatively Invariant Sets and Entire Solutions [PDF]
Journal of Dynamics and Differential Equations, 2010 Negatively invariant compact sets of autonomous and nonautonomous dynamical systems on a metric space, the latter formulated in terms of processes, are shown to contain a strictly invariant set and hence entire solutions. For completeness the positively invariant case is also considered. Both discrete and continuous time systems are considered.
Kloeden, Peter E., Marín Rubio, Pedro
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Scaling to generalize a single solution of Richards' equation for soil water redistribution
Scientia 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
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Invariance of Solutions to Invariant Nonparametric Variational Problems [PDF]
Transactions of the American Mathematical Society, 1980 Let G be a compact Lie group of diffeomorphisms of a connected orientable manifold M of dimension n + 1 n + 1 . Assume the orbits of highest dimension to be connected. Let Ψ \Psi be a convex positive even parametric integrand of degree n on M which is invariant under the action of G. Let T be a
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A similarity reduction of the Grad-Shafranov equation [PDF]
, 2010 A direct method for finding similarity reductions of partial differential equations is applied to a specific case of the Grad–Shafranov equation. As an illustration of the method, the frequently used Solov’ev equilibrium is derived.
Litvinenko, Yuri E.
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Invariant solutions to the Strominger system and the heterotic equations of motion
Nuclear 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
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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
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A Note on Supersymmetric Type II Solutions of Lifshitz Type [PDF]
, 2012 We discuss a class of supersymmetric type II non-relativistic solutions with exact or asymptotic scale invariance. As already emerged from previous investigations, we find a clear correspondence between anisotropic d-dimensional vacua and relativistic ...
A Butti +33 more
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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
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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
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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
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