ar X iv : n lin / 0 20 60 41 v 1 [ nl in . S I ] 2 6 Ju n 20 02 The Modified Nonlinear Schrödinger Equation : Facts and Artefacts

ar X iv : n lin / 0 50 20 02 v 1 [ nl in . P S ] 1 F eb 2 00 5 Discrete peakons

We demonstrate for the first time the possibility for explicit construction in a discrete Hamiltonian model of an exact solution of the form exp(−|n|), i.e., a discrete peakon. These discrete analogs of the well-known, continuum peakons of the Camassa-Holm equation [Phys. Rev. Lett. 71, 1661 (1993)] are found in a model different from their continuum siblings. Namely, we observe discrete peakon...

ar X iv : n lin / 0 60 40 34 v 1 [ nl in . S I ] 1 7 A pr 2 00 6 Integrable inhomogeneous Lakshmanan - Myrzakulov equation

Abstract. The integrable inhomogeneous extension of the Lakshmanan-Myrzakulov equation is constructed by using the prolongation structure theory. The corresponding L-equivalent counterpart is also given, which is the (2+1)-dimensional generalized NLSE. PACS: 02.30.Ik, 02.40.Hw, 75.10.Hk

ar X iv : h ep - p h / 02 06 27 0 v 1 2 6 Ju n 20 02 1 The charge asymmetry from Pomeron - Odderon interference in hard

ar X iv : h ep - p h / 02 06 17 1 v 2 2 4 Ju n 20 02 IPHE 2002 - 009 June 24 , 2002 B 0 – B 0 MIXING

ar X iv : m at h - ph / 0 20 60 17 v 1 1 2 Ju n 20 02 Z 3 - graded Grassmann Variables , Parafermions and their Coherent States

A relation between the Z3-graded Grassmann variables and parafermions is established. Coherent states are constructed as a direct consequence of such a relationship. We also give the analog of the Bargmann-Fock representation in terms of these Grassmann variables.