41 citations · 163 across the 18 of their papers we have counts for
19 papers
Global Results on the Classification of Two-Component Integrable Evolutionary Systems
Alexander V. Mikhailov, Vladimir Novikov, Jing Ping Wang
We derive necessary and sufficient integrability conditions for two-component polynomial evolutionary systems of odd order in dimensions. Integrable systems are members of…
Vector peakon equations and isospectral flows in Clifford algebras
Andrew N. W. Hone, Vladimir S. Novikov, Jacek Szmigielski
Starting from a spectral problem posed in a Clifford algebra with generators and Euclidean signature, we study an integrable, coupled system of PDEs that can be viewed as a vec…
Perturbative Symmetry Approach for Differential-Difference Equations
A. V. Mikhailov, V. S. Novikov, J. P. Wang
We propose a new method for solution of the integrability problem for evolutionary differential-difference equations of arbitrary order. It enables us to produce necessary integrab…
Second-order PDEs in 3D with Einstein-Weyl conformal structure
Sobhi Berjawi, Eugene Ferapontov, Boris Kruglikov +1
Einstein-Weyl geometry is a triple (D,g,w), where D is a symmetric connection, [g] is a conformal structure and w is a covector such that: (i) connection D preserves the conformal…
On a class of integrable Hamiltonian equations in 2+1 dimensions
B. Gormley, E. V. Ferapontov, V. S. Novikov
We classify integrable Hamiltonian equations in 3D with the Hamiltonian operator d/dx, where the Hamiltonian density h(u, w) is a function of two variables: dependent variable u an…
On a class of 2D integrable lattice equations
E. V. Ferapontov, I. T. Habibullin, M. N. Kuznetsova +1
We develop a new approach to the classification of integrable equations of the form where $\tr…