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Lie Point Symmetries and Exact Solutions of Couple KdV Equations
Communications in Theoretical Physics, 2007Summary: The simple Lie point symmetry reduction procedure is used to obtain infinitely many symmetries to a new integrable system of coupled KdV equations. Using some symmetry subalgebra of the equations, five types of the significant similarity reductions are obtained by virtue of the Lie group approach, and obtain abundant solutions of the coupled ...
Qian, Su-Ping, Tian, Li-Xin
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Lie point-symmetries and Poincare normal forms for dynamical systems
Journal of Physics A: Mathematical and General, 1990The problem of finding the extended Lie-point time-independent symmetries of autonomous systems of ordinary differential equations is compared with the Poincare procedure of reducing the system to linear or normal form, showing a close relationship between the two problems.
CICOGNA, GIAMPAOLO, Gaeta G.
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Lie Point Symmetries and Dynamical Systems
1993The notion and the peculiar properties of Lie point symmetries in the context of first-order time evolution ODE are examined, also in comparison with different situations (e.g. PDE, Hamiltonian problems). We obtain in particular that Lie symmetries provide an extension to the nonlinear case of a useful “reduction lemma”, and some applications ...
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Structure of Lie point and variational symmetry algebras for a class of odes
Communications in Nonlinear Science and Numerical Simulation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Heat transfer in MHD thin film flow with concentration using lie point symmetry approach
Case Studies in Thermal Engineering, 2023Ilyas Khan +2 more
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Communications in Nonlinear Science and Numerical Simulation, 2018
Andronikos Paliathanasis, M T Mustafa
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Andronikos Paliathanasis, M T Mustafa
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