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Physics  2012 

Solutions to the non-autonomous ABS lattice equations: Casoratians and bilinearization

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Abstract:

In the paper non-autonomous H1, H2, H3$_\delta$ and Q1$_\delta$ equations in the ABS list are bilinearized. Their solutions are derived in Casoratian form. We also list out some Casoratian shift formulae which are used to verify Casoratian solutions.

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