We suggest a modification of the operator exponential method for the numerical soling the difference linear initial boundary value problems. The scheme is based on the
representation of the difference operator for given boundary conditions as the peturbation of the same operator for periodic ones. We...
In this paper we study generalized classes of volume preserving multidimensional intgrable systems via NambuPoisson mechanics. These integrable systems belong to the
same class of dispersionless KP type equation. Hence they bear a close resemblance
to the self dual Einstein equation. All these dispersionless...
We present a list of (1+1)-dimensional second-order evolution equations all connected
via a proposed generalised hodograph transformation, resulting in a tree of equations
transformable to the linear second-order autonomous evolution equation. The list
includes autonomous and nonautonomous equations.
Observing the Universe, astronomers have concluded that the motion of stars can not
be accounted for unless one assumes that most of the mass in the Universe is carried
on by a "dark matter", so far impervious to all attempts at being detected. There
is now a similar concept of "dark energy". I shall...