15 citations · 33 across the 10 of their papers we have counts for
11 papers
Recursion and Hamiltonian operators for integrable nonabelian difference equations
Matteo Casati, Jing Ping Wang
In this paper, we carry out the algebraic study of integrable differential-difference equations whose field variables take values in an associative (but not commutative) algebra. W…
A Darboux-Getzler theorem for scalar difference Hamiltonian operators
Matteo Casati, Jing Ping Wang
In this paper we extend to the difference case the notion of Poisson-Lichnerowicz cohomology, an object encapsulating the building blocks for the theory of deformations of Hamilton…
PreHamiltonian and Hamiltonian operators for differential-difference equations
Sylvain Carpentier, Alexander V. Mikhailov, Jing Ping Wang
In this paper we are developing a theory of rational (pseudo) difference Hamiltonian operators, focusing in particular on its algebraic aspects. We show that a pseudo--difference H…
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…
Discrete moving frames and discrete integrable systems
Elizabeth Mansfield, Gloria Marí Beffa, Jing Ping Wang
Group based moving frames have a wide range of applications, from the classical equivalence problems in differential geometry to more modern applications such as computer vision. H…
Integrable peakon equations with cubic nonlinearity
Andrew N. W. Hone, Jing Ping Wang
We present a new integrable partial differential equation found by Vladimir Novikov. Like the Camassa-Holm and Degasperis-Procesi equations, this new equation admits peaked soliton…