Lie symmetries, Lagrangians and Hamiltonian framework of a class of nonlinear nonautonomous equations

2015 ◽  
Vol 75 ◽  
pp. 204-211 ◽  
Author(s):  
Partha Guha ◽  
A. Ghose-Choudhury
Keyword(s):  
Lie Symmetries ◽  
Nonautonomous Equations

scholarly journals Lie Symmetries of (1+2) Nonautonomous Evolution Equations in Financial Mathematics

Mathematics ◽  
2016 ◽  
Vol 4 (2) ◽  
pp. 34 ◽  
Author(s):  
Andronikos Paliathanasis ◽  
Richard Morris ◽  
Peter Leach
Keyword(s):  
Evolution Equations ◽  
Lie Symmetries ◽  
Financial Mathematics

Lie symmetries for the charge-monopole problem

1985 ◽  
Vol 18 (8) ◽  
pp. L427-L430 ◽  
Author(s):  
I C Moreira ◽  
O M Ritter ◽  
F C Santos
Keyword(s):  
Lie Symmetries

Lie symmetries and invariants for a 2D nonlinear heat equation

2008 ◽  
Vol 68 (8) ◽  
pp. 2261-2268 ◽  
Author(s):  
Rodica Cimpoiasu ◽  
Radu Constantinescu
Keyword(s):  
Heat Equation ◽  
Lie Symmetries ◽  
Nonlinear Heat Equation

Continuous symmetries of the discrete nonlinear telegraph equation

1999 ◽  
Vol 10 (3) ◽  
pp. 265-284 ◽  
Author(s):  
M. S. ODY ◽  
A. K. COMMON ◽  
M. I. SOBHY
Keyword(s):  
Initial Data ◽  
Difference Equations ◽  
Numerical Scheme ◽  
Telegraph Equation ◽  
Lie Symmetries ◽  
Discrete Equation ◽  
Symmetry Reductions ◽  
Nonlinear Telegraph Equation ◽  
Continuous Symmetries

The method of classical Lie symmetries, generalised to differential-difference equations by Quispel, Capel and Sahadevan, is applied to the discrete nonlinear telegraph equation. The symmetry reductions thus obtained are compared with analogous results for the continuous telegraph equation. Some of these ‘continuous’ reductions are used to provide initial data for a numerical scheme which attempts to solve the corresponding discrete equation.

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