Symmetries and Conservation Laws of the System: $u_x = vw_x, v_y = uw_y, uv + w_{xx} + w_{yy} = 0$

Bemmelen van, T. and Gragert, P.K.H. and Kersten, P.H.M. (1997) Symmetries and Conservation Laws of the System: $u_x = vw_x, v_y = uw_y, uv + w_{xx} + w_{yy} = 0$ . Acta applicandae mathematicae, 47 (1). pp. 79-99. ISSN 0167-8019

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Abstract:	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 $u_x = vw_x, v_y = uw_y, uv + w_{xx} + w_{yy} = 0$ . In between the methods of computation are explained.
Item Type:	Article
Copyright:	© 1997 Springer
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematical Systems and Control Theory (MSCT)
Link to this item:	http://purl.utwente.nl/publications/69576
Official URL:	http://dx.doi.org/10.1023/A:1005798508219
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