2 citations · 2 across the 2 of their papers we have counts for
3 papers
math-ph2023
Lie symmetry classification for the 1+1 and 1+2 generalized Zoomeron equations
Andronikos Paliathanasis, P. G. L. Leach
We present a complete algebraic classification of the Lie symmetries for generalized Zoomeron equations. For the generalized 1+1 and 2+1 Zoomeron equations we solve the Lie symmetr…
nlin.SI2019
Symmetries and Integrability of Modified Camassa-Holm Equation with an Arbitrary Parameter
A Durga Devi, K Krishnakumar, R Sinuvasan +1
We study the symmetry and integrability of a modified Camassa-Holm Equation (MCH), with an arbitrary parameter of the form $$u_{t}+k(u-u_{xx})^2u_{x}-u_{xxt}+(u^{2}-{u_{x}}^2)…
math.CA2018★ 2 cited
Nonlocal Representation of the Algebra for the Chazy equation
Andronikos Paliathanasis, Sameerah Jamal, P. G. L. Leach
A demonstration of how the point symmetries of the Chazy Equation become nonlocal symmetries for the reduced equation is discussed. Moreover we construct an equivalent third-order…