In this volume each of the contributors proposes his own test to recognize integrable PDEs.
We believe that, independently from the basic definition of integrability, the test must satisfy …

The variational bicomplex is a double complex of differential forms defined on the infinite jet
bundle of any fibered manifold π: E→ M. This double complex of forms is called the …

We study integrable non-degenerate Monge–Ampère equations of Hirota type in 4D and
demonstrate that their symmetry algebras have a distinguished graded structure, uniquely …

We introduce a new approach to Monge–Ampère geometry based on techniques from
higher symplectic geometry. Our work is motivated by the application of Monge–Ampère …

The purpose of this paper is to use the geometrical theory of nonlinear partial differential
equations and the theory of singularities of maps in order to obtain the general scheme for …

In this paper, we consider the Rumin complex on homogenenous nilpotent Lie groups. We
present an alternative construction to the classical one on Carnot groups using ideas from …

We study the equation for improper (parabolic) affine spheres from the view point of contact
geometry and provide the generic classification of singularities appearing in geometric …

Geometry of nonlinear differential equations Page 1 39. Shigeru Numata, nOn the curvature
tensor Shijk and the tensor Thijk of generalized Randers spaces, n Tensor, 2_99, No. 1, 35-39 …

We study pairs of structures, such as the Poisson-Nijenhuis structures, on the tangent
bundle of a manifold or, more generally, on a Lie algebroid or a Courant algebroid. These …

Here we continue to list the differential operators invariant with respect to the 15 exceptional
simple Lie superalgebras 𝖌 of polynomial vector fields. A part of the list (for operators acting …