19 citations · 46 across the 7 of their papers we have counts for
8 papers
Remarks on certain two-component systems with peakon solutions
Mike Hay, Andrew N. W. Hone, Vladimir S. Novikov +1
We consider a Lax pair found by Xia, Qiao and Zhou for a family of two-component analogues of the Camassa-Holm equation, including an arbitrary function , and show that this app…
Simple identification of fake Lax pairs
Samuel Butler, Mike Hay
Two simple ways to identify and explain fake Lax pairs are provided. The two methods are complementary, one involves finding a gauge transformation which can be used to remove the…
A systematic approach to reductions of type-Q ABS equations
Mike Hay, Phil Howes, Nobutaka Nakazono +1
We present a class of reductions of Möbius type for the lattice equations known as Q1, Q2, and Q3 from the ABS list. The deautonomised form of one particular reduction of Q3 is sho…
Lattice modified KdV hierarchy from a Lax pair expansion
Mike Hay
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…
An explicit formula for the discrete power function associated with circle patterns of Schramm type
Hisashi Ando, Mike Hay, Kenji Kajiwara +1
We present an explicit formula for the discrete power function introduced by Bobenko, which is expressed in terms of the hypergeometric τfunctions for the sixth Painlevé equation.…
A Completeness Study on Certain Lax Pairs Including Zero Terms
Mike C. Hay
We expand the completeness study instigated in [J. Math. Phys. 50 (2009), 103516, 29 pages] which found all Lax pairs with non-zero, separable terms in each entry of eac…