C. Sophocleous

activity

20052019

most citedEnhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities

105 citations · 664 across the 25 of their papers we have counts for

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Showing 2005Show all

2 papers · 1 filter

math-ph2005★ 29 cited

The Toda lattice is super-integrable

M. Agrotis, P. A. Damianou, C. Sophocleous

We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2N-1 independent constants of motion, where N is the number of…

math-ph2005★ 20 cited

Conservation Laws of Variable Coefficient Diffusion-Convection Equations

N. M. Ivanova, R. O. Popovych, C. Sophocleous

We study local conservation laws of variable coefficient diffusion-convection equations of the form $f (x) u_{t} = (g (x) A (u) u_{x})_{x} + h (x) B (u) u_{x}$ . The main tool of our investigation is the…