In this letter, we report the existence of a novel type of explode-decay dromions,
which are exponentially localized coherent structures whose amplitude varies with
time, through Hirota method for a nonisospectral Davey-Stewartson equation I discussed recently by Jiang. Using suitable transformations,...
A concept of semiclassically concentrated solutions is formulated for the multidimensional nonlinear Schrödinger equation (NLSE) with an external field. These solutions
are considered as multidimensional solitary waves. The center of mass of such a solution is shown to move along with the bicharacteristics...
The cubic Hénon-Heiles system contains parameters, for most values of which, the
system is not integrable. In such parameter regimes, the general solution is expressible
in formal expansions about arbitrary movable branch points, the so-called psi-series
expansions. In this paper, the convergence...
We attempt to reconstruct the irreducible unitary representations of the Banach Lie
group U0(H) of all unitary operators U on a separable Hilbert space H for which
U - I is compact, originally found by Kirillov and Ol'shanskii, through constrained
quantization of its coadjoint orbits. For this purpose...
Exactly integrable systems connected to semisimple algebras of second rank with an
arbitrary choice of grading are presented in explicit form. General solutions of these
systems are expressed in terms of matrix elements of two fundamental representations
of the corresponding semisimple groups.
A new class of integro-partial differential equation models is derived for the prediction
of granular flow dynamics. These models are obtained using a novel limiting averaging
method (inspired by techniques employed in the derivation of infinite-dimensional
dynamical systems models) on the Newtonian...
The multiplication in the Virasoro algebra
[ep, eq] = (p - q)ep+q + p3
- p p+q, p, q Z,
[, ep] = 0,
comes from the commutator [ep, eq] = ep eq - eq ep in a quasiassociative algebra
with the multiplication
ep eq = q(1 + q)