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pro vyhledávání: '"Sinuvasan, R"'
Symmetry analysis of Ramanujan's system of differential equations is performed by representing it as a third-order equation. A new system consisting of a second-order and a first-order equation is derived from Ramanujan's system. The Lie algebra of t
Externí odkaz:
http://arxiv.org/abs/2302.05712
Publikováno v:
In Alexandria Engineering Journal January 2025 111:601-609
We examine the general element of the class of ordinary differential equations, $yy^{(n+1)}+\alpha y'y^{(n)}=0$, for its Lie point symmetries. We observe that the algebraic properties of this class of equations display an attractive set of patterns,
Externí odkaz:
http://arxiv.org/abs/1911.05724
We study the symmetry and integrability of a modified Camassa-Holm Equation (MCH), with an arbitrary parameter $k,$ of the form $$u_{t}+k(u-u_{xx})^2u_{x}-u_{xxt}+(u^{2}-{u_{x}}^2)(u_{x}-u_{xxx})=0.$$ By using Lie point symmetries we reduce the order
Externí odkaz:
http://arxiv.org/abs/1911.05713
The symmetry analysis of the Cheng Equation is performed. The Cheng Equation is reduced to a first-order equation of either Abel's Equations, the analytic solution of which is given in terms of special functions. Moreover, for a particular symmetry t
Externí odkaz:
http://arxiv.org/abs/1901.04337
We consider the master equation of quantum Brownian motion and with the application of the group invariant transformation we show that there exists a surface on which the solution of the master equation is given by an autonomous one-dimensional Schr\
Externí odkaz:
http://arxiv.org/abs/1612.04070
Publikováno v:
In International Journal of Non-Linear Mechanics June 2019 112:1-5
Akademický článek
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Autor:
Sinuvasan, R.1 rsinuvasan@gmail.com, Paliathanasis, Andronikos2,3 anpaliat@phys.uoa.gr, Morris, Richard M.4 rmcalc85@gmail.com, Leach, Peter G. L.4,5 leach@ucy.ac.cy
Publikováno v:
Mathematics (2227-7390). 2017, Vol. 5 Issue 1, p1. 7p.
Publikováno v:
Afrika Matematica; Nov2021, Vol. 32 Issue 7/8, p1657-1667, 11p