Results 91 to 100 of about 111,509 (220)

Lie Symmetries of the Wave Equation on the Sphere Using Geometry

Dynamics
A semilinear quadratic equation of the form Aij(x)uij=Bi(x,u)ui+F(x,u) defines a metric Aij; therefore, it is possible to relate the Lie point symmetries of the equation with the symmetries of this metric. The Lie symmetry conditions break into two sets:
Michael Tsamparlis, Aniekan Magnus Ukpong   +1 more
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Exact solution of a mathematical model for human muscular motion

Examples and Counterexamples
An ordinary differential equation (ODE) which models human muscular movement is considered. A functional form of the model parameter is specified through the Lie symmetry approach, yielding a different expression from the one derived in the previous ...
Motlatsi Molati
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The computation of Lie point symmetry generators, modulational instability, classification of conserved quantities, and explicit power series solutions of the coupled system

, 2023
Waqas Ali Faridi, Abdullahi Yusuf, Ali Akgül, Ferdous M. O. Tawfiq, Fairouz Tchier, Rawya Al‐deiakeh, Tukur Abdulkadir Sulaıman, Ahmed M. Hassan, Wen‐Xiu Ma   +8 more
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A group theoretical identification of integrable cases of the Liénard-type equation x+f(x)x+g(x)=. I. Equations having nonmaximal number of Lie point symmetries [PDF]

, 2009
S. N. Pandey, P. Bindu, M. Senthilvelan, M. Lakshmanan   +3 more
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Projective Collineations of Decomposable Spacetimes Generated by the Lie Point Symmetries of Geodesic Equations [PDF]

, 2021
Andronikos Paliathanasis
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Symmetry Reductions of the (1 + 1)-Dimensional Broer–Kaup System Using the Generalized Double Reduction Method

Axioms
The generalized theory of the double reduction of systems of partial differential equations (PDEs) based on the association of conservation laws with Lie–Bäcklund symmetries is one of the most effective algorithms for performing symmetry reductions of ...
Molahlehi Charles Kakuli, Winter Sinkala, Phetogo Masemola   +2 more
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THREE-POINT FUNCTIONS IN CONFORMAL FIELD THEORY WITH AFFINE LIE GROUP SYMMETRY [PDF]

, 1999
Jørgen Rasmussen
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Lie point symmetry analysis of a second order differential equation with singularity [PDF]

, 2016
F. Güngör, Pedro J. Torres
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Application of the generalized double reduction method to the (1+1)-dimensional Kaup–Boussinesq (K–B) system: Exploiting Lie symmetries and conservation laws

Partial Differential Equations in Applied Mathematics
This paper explores the application of the generalized double reduction method to the (1+1)-dimensional Kaup–Boussinesq system, which models nonlinear wave propagation.
Molahlehi Charles Kakuli
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Lie point symmetries of integrable evolution equations and invariant solutions [PDF]

, 1999
Andrei K. Svinin
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