Symmetries and Conservation laws of the system Ux=VWx, Vy=UWy, UV+Wxx+Wyy=0

T. van Bemmelen, T. van Bemmelen, P.K.H. Gragert, P.H.M. Kersten

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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.
    Original languageUndefined
    Pages (from-to)79-99
    Number of pages21
    JournalActa applicandae mathematicae
    Volume47
    Issue number47
    DOIs
    Publication statusPublished - 1997

    Keywords

    • METIS-140577
    • IR-69576

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