Related papers: Toward a canonical qKdV equation
Some forms of qKdV type equations are indicated which arise from Virasoro considerations.
The paper aims to point out a novel geometric characterisation of the WDVV equations of 2D topological field theory.
Examples are worked out using a new equation proposed in the previous paper to show that it has new physical predictions for mesoscopic systems.
A quantum theory is developed for a difference-difference system which can serve as a toy-model of the quantum Korteveg-de-Vries equation.
A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier.
An technically interesting proof of a known theorem.
Particular solutions of the Benney equations are constructed. Their properties are discussed.
We determine the additional structure which arises on the classical limit of a DQ-algebroid.
This survey is an invitation to recent developments in higher dimensional birational geometry.
We review a recent attempt to deal with non-perturbative features of QCD by analytical means, using a manifestly gauge invariant, canonical approach.
A novel canonical transformation is offered as the mean for studying properties of a system of strongly correlated electrons. As an example of the utility of the transformation, it is used to demonstrate the existence of a quantum phase…
We prove well-posedness of the Cauchy problem for a class of third order quasilinear evolution equations with variable coefficients in projective Gevrey spaces. The class considered is connected with several equations in Mathematical…
A K-theoretic counterpart of quantum cohomology theory is discussed.
To make the illposedness argument more transparent the argument is rewritten to reduce the equation to the constant dispersion case. Minor errors are corrected. Accepted to the Proceedings of the AMS.
The main object of this paper is to produce a deformation of the KdV hierarchy of partial differential equations. We construct this deformation by taking a certain limit of the Toda hierarchy. This construction also provides a deformation…
Modern experiment requires a reliable theoretical framework for low energy QCD. Some of the requirements for constructing a new model of QCD are presented here. Progress toward these requirements are highlighted.
The method for solving the KdV are considered.
We establish a new extension result for twisted canonical forms defined on a hypersurface with simple normal crossings of a projective manifold. Some of the examples presented in the appendix are showing that the bounds we obtain for the…
It is shown that the squared operation of the Dirac equation which is widely applied may create new solutions and moreover may change the inner nature of original equation. Some illustrating examples are considered as well.
New results on comparison of distributions of Gaussian quadratic forms are presented