Journal of Nonlinear Mathematical Physics

Volume 6, Issue 2, May 1999

1. Explode-Decay Dromions in the Non-Isospectral Davey-Stewartson I (DSI) Equation

R. RADHA, S. VIJAYALAKSHMI, M. LAKSHMANAN
Pages: 120 - 126
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,...

2. Semiclassical Solutions of the Nonlinear Schrödinger Equation

A.V. SHAPOVALOV, A.Yu. TRIFONOV
Pages: 127 - 138
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...

3. Psi-Series Solutions of the Cubic Hénon-Heiles System and Their Convergence

S. MELKONIAN
Pages: 139 - 160
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 of...

4. Representations of the Infinite Unitary Group from Constrained Quantization

N.P. LANDSMAN
Pages: 161 - 180
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...

5. Exactly Integrable Systems Connected to Semisimple Algebras of Second Rank A2, B2, C2, G2

A.N. LEZNOV
Pages: 181 - 197
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.

6. New Mathematical Models for Particle Flow Dynamics

Denis BLACKMORE, Roman SAMULYAK, Anthony ROSATO
Pages: 198 - 221
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...

7. On the Nature of the Virasoro Algebra

Boris A. KUPERSHMIDT
Pages: 222 - 245
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)