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Exceptional hyperbolic systems of Hamiltonian form

Published online by Cambridge University Press:  26 September 2008

P. Carbonaro
P. Carbonaro
Affiliation:
Dipartimento di Matematica dell'Università di Catania, Viale A. Doria 6, 1-95125 Catania, Italy
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Abstract

Some years ago, Bluman [1] gave the ‘integrability conditions’ for a linear second-order hyperbolic Equation, i.e. the conditions under which it can be mapped invertibly to a constant coefficient wave equation. Considering that a second-order hyperbolic equation in two dimensions can be regarded as the hodograph representation of a 2x2 quasi-linear homogeneous system, one may wonder how the fulfilment of the above-mentioned integrability conditions is reflected in the structure of the quasi-linear system. The question is especially interesting if the quasi-linear system derives from a Hamiltonian density.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 6 , Issue 2 , April 1995 , pp. 157 - 167
Copyright
Copyright © Cambridge University Press 1995

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References

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