Results 21 to 30 of about 7,793,267 (329)

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
doaj   +1 more source

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

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 symmetry analysis of fractional ordinary differential equation with neutral delay

AIMS Mathematics, 2021
In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the fractional ordinary differential equation with neutral delay are obtained, and the group ...
Yuqiang Feng, Jicheng Yu
doaj   +1 more source

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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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
openaire   +4 more sources

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, Bijan Ghahraman, Kamran Davary, Seyed Majid Hasheminia, Klaus Reichardt   +4 more
doaj   +1 more source

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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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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Koopman mode expansions between simple invariant solutions [PDF]

Journal of Fluid Mechanics, 2018
A Koopman decomposition is a powerful method of analysis for fluid flows leading to an apparently linear description of nonlinear dynamics in which the flow is expressed as a superposition of fixed spatial structures with exponential time dependence ...
Jacob Page, R. Kerswell
semanticscholar   +1 more source