Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Scattering of localized solitons in the plane

- M. Boiti, J. Leon, L. Martina, F. Pempinelli
- Physics
- 24 October 1988

Abstract Localized (exponentially decaying in all directions) soliton solutions of the evolution equations related to the Zakharov-Shabat spectral problem in the plane are explicitly given. They can… Expand

360 4

Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem

- L. Martina, P. Winternitz
- Physics
- 1 December 1989

Abstract The Lie algebra of the symmetry group of the three-wave resonant interaction system in three (or more) space dimensions is shown to be infinite-dimensional and to have the structure of the… Expand

54 3

Exotic Galilean Symmetry and Non-Commutative Mechanics ?

- P. Horváthy, L. Martina, P. Stichel
- Physics, Mathematics
- 25 February 2010

Some aspects of the "exotic" particle, associated with the two-parameter central extension of the planar Galilei group are reviewed. A fundamental property is that it has non-commuting position… Expand

35 3- PDF

Berry Phase Correction to Electron Density in Solids and

- C. Duval, Z. Horváth, P. Horváthy, L. Martina, P. Stichel
- Physics, Mathematics
- 2 June 2005

Recent results on the semiclassical dynamics of an electron in a solid are explained using techniques developed for ``exotic'' Galilean dynamics. The system is indeed Hamiltonian and Liouville's… Expand

64 2- PDF

On topological soliton dynamics in multidimensional ferromagnetic continuum

- L. Martina, O. Pashaev, G. Soliani
- Mathematics
- 1 June 1994

A multidimensional model for a ferromagnetic continuum with hydrodynamical properties, which can be regarded as a modified Landau-Lifshitz equation, is presented. The treatment of some physical… Expand

8 2

Nonlinearity, Integrability and All That: Twenty Years After NEEDS '79

- M. Boiti, L. Martina, F. Pempinelli, B. Prinari, G. Soliani
- Physics
- 15 July 2000

30 1

Structure preserving discretizations of the Liouville equation and their numerical tests

- D. Levi, L. Martina, P. Winternitz
- Mathematics, Physics
- 8 April 2015

The main purpose of this article is to show how structure reected in partial dierential equations can be preserved in a discrete world and reected in dierence schemes. Three dierent structure… Expand

11 1- PDF

Self-Dual Chern-Simons Solitons in Nonlinear σ-MODELS

- L. Martina, O. Pashaev, G. Soliani
- Physics
- 10 November 1993

A self-dual Chern-Simons system and its Lax pair are derived from the tangent space representation of a two-dimensional nonlinear σ-model, endowed with a gauge field. The related “matter” field… Expand

14 1

Comment on "Berry phase correction to electron density of states in solids".

- C. Duval, Z. Horváth, P. Horváthy, L. Martina, P. Stichel
- Physics, Medicine
- Physical review letters
- 30 September 2005

A Comment on the Letter by Di Xiao, Junren Shi, and Qian Niu, Phys. Rev. Lett. 95, 137204 (2005). The authors of the Letter offer a Reply.

26 1- PDF

Bilinearization of multidimensional topological magnets

- L. Martina, O. Pashaev, G. Soliani
- Physics
- 7 February 1994

A classical magnetic model with compact su(2) and non-compact su(1,1) spin phase space admitting the Hirota bilinear form is presented in an arbitrary number of space dimensions. The essential point… Expand

10 1

...

1

2

3

4

5

...