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Generalized negative flows in hierarchies of integrable evolution equations
Stephen C. Anco, Shahid Mohammad, Thomas Wolf +1
A one-parameter generalization of the hierarchy of negative flows is introduced for integrable hierarchies of evolution equations, which yields a wider (new) class of non-evolution…
Symmetries and conservation laws of the generalized Krichever-Novikov equation
Stephen C. Anco, Elena D. Avdonina, Aliya Gainetdinova +3
A computational classification of contact symmetries and higher-order local symmetries that do not commute with , as well as local conserved densities that are not invariant u…
Gardner's deformations of the N=2 supersymmetric a=4-KdV equation
V. Hussin, A. V. Kiselev, A. O. Krutov +1
We prove that P.Mathieu's Open problem on constructing Gardner's deformation for the N=2 supersymmetric a=4-Korteweg-de Vries equation has no supersymmetry invariant solutions, whe…
Hyperdeterminants as integrable discrete systems
Sergey P. Tsarev, Thomas Wolf
We give the basic definitions and some theoretical results about hyperdeterminants, introduced by A. Cayley in 1845. We prove integrability (understood as 4d-consistency) of a nonl…
Classification of 3-dimensional integrable scalar discrete equations
S. P. Tsarev, T. Wolf
We classify all integrable 3-dimensional scalar discrete quasilinear equations Q=0 on an elementary cubic cell of the 3-dimensional lattice. An equation Q=0 is called integrable if…
Partial and complete linearization of PDEs based on conservation laws
Thomas Wolf
A method based on infinite parameter conservation laws is described to factor linear differential operators out of nonlinear partial differential equations (PDEs) or out of differe…