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Some symmetry classifications of hyperbolic vector evolution equations

Stephen C. Anco·Thomas Wolf
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Abstract

Motivated by recent work on integrable flows of curves and 1+1 dimensional sigma models, several O(N)-invariant classes of hyperbolic equations $u_{tx} =f(u,u_t,u_x)$ for an $N$-component vector $u(t,x)$ are considered. In each class we find all scaling-homogeneous equations admitting a higher symmetry of least possible scaling weight. Sigma model interpretations of these equations are presented.

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Stephen C. Anco, Thomas Wolf. 2005-07-11. Some symmetry classifications of hyperbolic vector evolution equations. https://doi.org/10.2991/jnmp.2005.12.s1.2

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