alexa Generalisations of the Camassa-Holm equation


Journal of Generalized Lie Theory and Applications

Author(s): Vladimir Novikov

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We classify generalised Camassa-Holm type equations which possess infinite hierarchies of higher symmetries. We show that the obtained equations can be treated as negative flows of integrable quasi-linear scalar evolution equations of orders 2, 3 and 5. We present the corresponding Lax representations or linearisation transformations for these equations. Some of the obtained equations seem to be new.

This article was published in Journal of Physics A: Mathematical and Theoretical 42. and referenced in Journal of Generalized Lie Theory and Applications

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