2 papers
nlin.SI2026
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…
nlin.SI2026
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…