AFFINE LIE ALGEBRA SYMMETRY OF SINE-GORDON THEORY AT REFLECTIONLESS POINTS [PDF]
The quantum affine symmetry of the sine-Gordon theory at q2=1, which occurs at the reflectionless points, is studied. Conserved currents that correspond to the closure of simple root generators are considered, and shown to be local. We argue that they satisfy the [Formula: see text] algebra. Examples of these currents are explicitly constructed.
Leclair, André, Nemeschansky, Dennis
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A New Method for Finding Lie Point Symmetries of First-Order Ordinary Differential Equations [PDF]
Winter Sinkala
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Symmetries and exact solutions of Einstein field equations for perfect fluid distribution and pure radiation fields [PDF]
Lie group formalism is applied to Einstein field equations for perfect fluid distribution and pure radiation fields in the investigation of symmetries and exact solutions. The similarity reductions are obtained by determining the complete sets of point
Lakhveer Kaur
doaj
Lie Symmetry Analysis of a Nonlinear Black–Scholes Equation in Illiquid Markets
We have conducted comprehensive Lie symmetry analysis of a nonlinear Black–Scholes equation that arises in illiquid markets. The equation incorporates nonlinearities arising from market constraints, such as transaction costs and liquidity effects.
Winter Sinkala
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Lie group analysis, solitary wave solutions and conservation laws of Schamel Burger’s equation
This paper presents a Lie group analysis of the Schamel Burger’s equation, notable for producing shock-type traveling waves in distinctive physical contexts.
Naseem Abbas +2 more
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The explicit power series solution formation and computationof Lie point infinitesimals generators: Lie symmetry approach [PDF]
Waqas Ali Faridi, Salman A. AlQahtani
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The optimal investment-consumption problem under the constant elasticity of variance (CEV) model is investigated from the perspective of Lie group analysis. The Lie symmetry group of the evolution partial differential equation describing the CEV model is
Motsepa Tanki +3 more
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Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system [PDF]
Diana S. Maltseva, Roman O. Popovych
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On Lie point symmetries in differential games [PDF]
A technique to determine closed-loop Nash equilibria of n-player differential games is developed when their dynamic state-control system is composed of decoupled ODEs.
A. Palestini
core
The Lie point symmetry generators admitted by systems of linear differential equations [PDF]
Robert J. Gray
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