Results 11 to 20 of about 546,512 (289)

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
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Symmetries of Ricci flows

Advances in Nonlinear Analysis, 2023
In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics.
López Enrique, Dimas Stylianos, Bozhkov Yuri   +2 more
doaj   +1 more source

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., Fels, Mark E., Torre, Charles G.   +2 more
openaire   +5 more sources

Invariant Solutions and Conservation Laws of the Variable-Coefficient Heisenberg Ferromagnetic Spin Chain Equation

Frontiers in Physics, 2020
The variable-coefficient Heisenberg ferromagnetic spin chain (vcHFSC) equation is investigated using the Lie group method. The infinitesimal generators and Lie point symmetries are reported.
Na Liu, Na Liu
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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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Lie Symmetry Classification, Optimal System, and Conservation Laws of Damped Klein–Gordon Equation with Power Law Non-Linearity

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, Fazal M. Mahomed, Faiza Arif   +2 more
doaj   +1 more source

Duality Invariant Non-Extreme Black Holes in Toroidally Compactified String Theory [PDF]

, 1997
We present duality invariant structure of the thermodynamic quantities of non-extreme black hole solutions of torodially compactified Type II (M-theory) and heterotic string in five and four dimensions.
Behrndt, Bergshoeff, Christodoulou, Cremmer, Cremmer, Cremmer, Cvetič, Cvetič, Cvetič, Cvetič, Cvetič, Cvetič, Duff, Ferrara, Ferrara, Ferrara, Gibbons, Hull, Ingo Gaida, Kallosh, Kallosh, Larsen, Lopes-Cardoso, Mirjam Cvetič, Penrose, Sen, Sen, Sen, Zumino   +28 more
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Universal time-dependent deformations of Schrodinger geometry [PDF]

, 2010
We investigate universal time-dependent exact deformations of Schrodinger geometry. We present 1) scale invariant but non-conformal deformation, 2) non-conformal but scale invariant deformation, and 3) both scale and conformal invariant deformation.
A Adams, A Chamblin, A Donos, A Donos, A Kumar, A Volovich, AB Zamolodchikov, C Duval, C Duval, C-S Chu, CA Fuertes, CM Hull, CP Herzog, CR Hagen, D Brecher, DT Son, E Witten, H Ooguri, H Singh, J Jeong, J Maldacena, J Polchinski, K Balasubramanian, K Sfetsos, N Bobev, PA Horvathy, R Jackiw, RG Leigh, S Schäfer-Nameki, SA Hartnoll, SA Hartnoll, SR Coleman, SR Das, SR Das, SS Gubser, U Niederer, V Hussin, V Riva, VR Kaigorodov, Y Nakayama, Y Nakayama, Y Nakayama, Y Nakayama, Y Nakayama, Y Nishida, Yu Nakayama, ZF Ezawa   +46 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, Hajra Bashir, Muhammad Athar   +2 more
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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, Raseelo J. Moitsheki   +1 more
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