Symmetries and solutions
Time Solutions and Symmetries in Extended Gravity Quantum Cosmology
... of the theory that allow to reduce the dynamics and recover classical solutions. Reversing the argu- ment, if the wave function of the universe is related to the probability to get a classical cosmological ...
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On symmetries and invariant solutions of a coupled KdV system with variable coefficients
... COUPLED KdV SYSTEM WITH VARIABLE COEFFICIENTS K. SINGH AND R. K. GUPTA Received 22 February 2005 and in revised form 18 October 2005 We investigate symmetries and reductions of a coupled KdV system with variable ...
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Nonlocal symmetries and interaction solutions for the KdV-type K(3,2) equation
... nonlocal symmetries of the KdV-type K ð3; 2Þ equation are obtained with the truncated Painleve´ expansion ...nonlocal symmetries, we prolong the KdV-type K ð3; 2Þ equation such that the nonlocal ...
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Potential Symmetries, One Dimensional Optimal System and Invariant Solutions of the Coupled Burgers’ Equations
... Lie symmetries of the system S that is obtained by introducing a potential as a further unknown ...invariant solutions which could not be obtained by Lie ...
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Some symmetries, similarity solutions and various conservation laws of a type of dispersive water waves
... Abstract We investigate the point symmetries, Lie–Bäcklund symmetries for a type of dispersive water waves. We obtain some Lie transformation groups, various group-invariant solutions, and some ...
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Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation
... Abstract: For a generalized KdV-Burgers-Kuramoto equa- tion we have studied conservation laws by using the mul- tiplier method, and investigated its first-level and second- level potential systems. Furthermore, the Lie ...
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Physical Symmetries, Overarching Symmetries, and Consistency
... (2009), symmetries act as a guide to surplus ...two solutions related by a symmetry do not correspond to deep physical differences between two physical states while a notational difference between two ...
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Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries
... Then, the wide range of solution with Lie symmetry’s method is given. This method is based on finding some differential operators (vector fields) called symmetries, in order to find the exact solutions of ...
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Exact solutions for Fokker-Plank equation of geometric Brownian motion with Lie point symmetries
... exact solutions [11, 12] of nonlinear differential ...exact solutions of nonlinear ...Lie symmetries of differential equations, and their applications to find analytic solutions of the ...
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Symmetries of WDVV equations
... It follows from the above consideration that the Lie algebra A acts on the space of calibrated solutions of WDVV equations. Our goal is to calculate this action more explicitly. Elements of A can be considered as ...
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New Solutions for Fokker-Plank Equation of Special Stochastic Process via Lie Point Symmetries
... exact solutions of nonlinear differential equations [8, 13, ...exact solutions of nonlin- ear problems [14, ...Lie symmetries of differential equations, and their applications to find ana- lytic ...
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The classification of bifurcations with hidden symmetries
... extra symmetries obtained from the extension to the larger manifold change the genericity of the original problem in the smaller ...of solutions of (1.0.1), so smooth solutions on D correspond to ...
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Coefficients of prolongations for symmetries of ODEs
... These are symmetries of the equation mapping solutions into solutions. Lie’s methods did not find widespread use in part because the calculations for the infinitesimals were quite lengthy, needing to ...
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FINITE SYMMETRIES OF AND
... Q (8 p, q )-actions on homology 3-spheres, and one can ask more general existence and classification questions about smooth finite group actions on homology 3- spheres which do not have [r] ...
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Symmetries of automata
... 3.2. External symmetries There exist automorphisms of automata which are not state- automorphisms. An automorphism or endomorphism which is not the identity on inputs cannot be realized by applying words to states ...
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Symmetries, colorings, and polyanumeration
... 2 2-Dimensional Applications 18 126b 6 w 8 + 79b 5 w 9 + 47b 4 w 10 + 16b 3 w 11 + 7b 2 w 12 + bw 13 + w 14 . Now suppose the olympics has 163 nations participating this year and the olympic committee is developing an ...
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Symmetries in planning problems
... This paper de- scribes the ways that symmetry arises most naturally in planning problems and reviews the approaches that have been applied to exploitation of symmetry in or- der to reduc[r] ...
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Symmetries of toric duality
... the symmetries exhibited by the terms in the superpotential and the ...of symmetries, namely “flavor symmetry” and “node symmetry”, into whose multiplets the fields in the superpotential organise ...
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Foreign Exchange Symmetries
... In Foreign Exchange markets the moneyness of vanilla options is always expressed in terms of deltas and prices are quoted in terms of volatility. This makes a ten-delta call a financial [r] ...
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Causal Groupoid Symmetries
... Abstract Proposed here is a new framework for the analysis of complex systems as a non-explicitly pro- grammed mathematical hierarchy of subsystems using only the fundamental principle of causality, the mathematics of ...
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