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arXiv · 1508.00561

Integrable $1+1$ dimensional hierarchies arising from the reduction of a nonisospectral problem in $2+1$ dimensions

P. G. Estévez·J. D. Lejarreta·C. Sardón
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Abstract

This work presents a classical Lie point symmetry analysis of a two-component, non-isospectral Lax pair of a hierarchy of partial differential equations in $2+1$ dimensions, which can be considered as a modified version of the Camassa-Holm hierarchy in $2+1$ dimensions. A classification of reductions for this spectral problem is performed. Non-isospectral reductions in $1+1$ dimensions are considered of remarkable interest.

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P. G. Estévez, J. D. Lejarreta, C. Sardón. 2015-08-03. Integrable $1+1$ dimensional hierarchies arising from the reduction of a nonisospectral problem in $2+1$ dimensions. https://arxiv.org/abs/1508.00561

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