Journal of Nonlinear Mathematical Physics

Volume 20, Issue 3, October 2013
Research Article

1. Birkhoff Strata of Sato Grassmannian and Algebraic Curves

Boris G. Konopelchenko, Giovanni Ortenzi
Pages: 309 - 347
Algebraic and geometric structures associated with Birkhoff strata of Sato Grassmannian are analyzed. It is shown that each Birkhoff stratum ΣS contains a subset Wŝ of points for which each fiber of the corresponding tautological subbundle TBWS is closed with respect to multiplication. Algebraically...
Letter to Editor

2. Properties of the Zeros of the Sum of two Polynomials

Francesco Calogero
Pages: 348 - 354
Some properties—including relations having a Diophantine character—of the zeros of the sum of two polynomials are reported.
Research Article

3. Algebro-Geometric Solutions and Their Reductions for the Fokas-Lenells Hierarchy

Peng Zhao, Engui Fan, Yu Hou
Pages: 355 - 393
This paper is dedicated to provide theta function representations of algebro-geometric solutions for the Fokas- Lenells (FL) hierarchy through studying an algebro-geometric initial value problem. Further, we reduce these solutions into n-dark solutions through the degeneration of associated Riemann surfaces.
Research Article

4. Darboux integrability of a generalized Friedmann-Robertson-Walker Hamiltonian system

Jaume Llibre, Claudia Valls
Pages: 394 - 406
We study the Darboux first integrals of a generalized Friedmann-Robertson-Walker Hamiltonian system.
Research Article

5. Rogue wave management in an inhomogeneous Nonlinear Fibre with higher order effects

J.S. He, Y.S. Tao, K. Porsezian, A.S. Fokas
Pages: 407 - 419
We consider an inhomogeneous Hirota equation with variable dispersion and nonlinearity. We introduce a novel transformation which maps this equation to a constant coefficient Hirota equation. By employing this transformation we construct the rogue wave solution of the inhomogeneous Hirota equation. Furthermore,...
Research Article

6. Coadjoint Orbits of Certain Motion Groups and Their Coherent States

Majdi Ben Halima
Pages: 420 - 430
Let ℍn, n ≥ 1, be the (2n+1)-dimensional Heisenberg group and let K be a closed connected subgroup of the unitary group U(n) acting on ℍn by automorphisms. Using the moment map, we provide in this paper a dequantization procedure for all generic admissible coadjoint orbits of the semidirect product G...
Research Article

7. On near and the nearest correlation matrix

Pasha Zusmanovich
Pages: 431 - 439
We present an elementary heuristic reasoning based on Arnold's theory of versal deformations in support of a straightforward algorithm for finding a correlation matrix near a given symmetric one.
Research Article

8. Magnetic fields in 2D and 3D sphere

Jose L. Cabrerizo
Pages: 440 - 450
In this note we study the Landau–Hall problem in the 2D and 3D unit sphere, that is, the motion of a charged particle in the presence of a static magnetic field. The magnetic flow is completely determined for any Riemannian surface of constant Gauss curvature, in particular, the unit 2D sphere. For the...
Research Article

9. Quantizing preserving Noether symmetries

M.C. Nucci
Pages: 451 - 463
A procedure which obviates the constraint imposed by the conflict between consistent quantization and the invariance of the Hamiltonian description under nonlinear canonical transformation is proposed. This new quantization scheme preserves the Noether point symmetries of the underlying Lagrangian in...