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arXiv · 1207.4637

Lattice modified KdV hierarchy from a Lax pair expansion

Mike Hay
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Abstract

We produce a hierarchiy of integrable equations by systematically adding terms to the Lax pair for the lattice modified KdV equation. The equations in the hierarchy are related to one aonother by recursion relations. These recursion relations are solved explicitly so that every equation in the hierarchy along with its Lax pair is known.

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Mike Hay. 2012-07-22. Lattice modified KdV hierarchy from a Lax pair expansion. https://doi.org/10.1088/1751-8113%2F46%2F1%2F015203

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