Results 11 to 20 of about 38,858 (265)
Mathematical and Computational Applications, 2023 We used the classical Lie symmetry method to study the damped Klein–Gordon equation (Kge) with power law non-linearity utt+α(u)ut=(uβux)x+f(u). We carried out a complete Lie symmetry classification by finding forms for α(u) and f(u).
Fiazuddin D. Zaman +2 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 +
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Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations
Journal of Function Spaces, 2021 In this article, Lie and discrete symmetry transformation groups of linear and nonlinear Newell-Whitehead-Segel (NWS) equations are obtained. By using these symmetry transformation groups, several group invariant solutions of considered NWS equations ...
Khudija Bibi, Khalil Ahmad
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Optimal systems and group invariant solutions for a model arising in financial mathematics
Mathematical Modelling and Analysis, 2009 We consider a bond‐pricing model described in terms of partial differential equations (PDEs). Classical Lie point symmetry analysis of the considered PDEs resulted in a number of point symmetries being admitted.
Bienvenue Feugang Nteumagne +1 more
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Group Invariant Solutions Without Transversality [PDF]
Communications in Mathematical Physics, 2000 We present a generalization of Lie's method for finding the group invariant solutions to a system of partial differential equations. Our generalization relaxes the standard transversality assumption and encompasses the common situation where the reduced differential equations for the group invariant solutions involve both fewer dependent and ...
Anderson, Ian M. +2 more
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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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Lie symmetries and reductions via invariant solutions of general short pulse equation
Frontiers 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
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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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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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Lie Symmetry Analysis and Invariant Solutions of the Diffusion Equation on the Sphere with Linear Reaction [PDF]
International Journal of Mathematical, Engineering and Management SciencesThis paper investigates the linear reaction–diffusion equation on the unit sphere by means of Lie point symmetry analysis. The determining equations show that the finite–dimensional Lie point symmetry algebra is five-dimensional and is generated by the ...
Khalid Ali Alanezy
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