Symmetries and Conservation Laws of the System: ux= vwx, vy= u wy, uv+wxx+wyy=0

Acta Applicandae Mathematicae - Tập 47 - Trang 79-99 - 1997
T. van Bemmelen1, P. K. H. Gragert1, P. H. M. Kersten1
1Faculty of Applied Mathematics, University of Twente, The Netherlands

Tóm tắt

After a short exposition of the theory of local and nonlocal symmetries and conservation laws for systems of PDE’s, results on these and the recursion operator are listed for the system of PDE’s ux=vwx, vy=uwy, uv+wxx+wyy=0. In between the methods of computation are explained.

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