Quantized representation of some nonlinear integrable evolution equations on the soliton sector

The Hirota algorithm for solving several integrable nonlinear evolution equations is suggestive of a simple quantized representation of these equations and their soliton solutions over a Fock space of bosons or of fermions. The classical nonlinear wave equation becomes a nonlinear equation for an operator. The solution of this equation is constructed through the operator analog of the Hirota transformation. The classical N-solitons solution is the expectation value of the solution operator in an N-particle state in the Fock space.Comment: 12 page

Perturbative analysis of wave interactions in nonlinear systems

This work proposes a new way for handling obstacles to asymptotic integrability in perturbed nonlinear PDEs within the method of Normal Forms - NF - for the case of multi-wave solutions. Instead of including the whole obstacle in the NF, only its resonant part is included, and the remainder is assigned to the homological equation. This leaves the NF intergable and its solutons retain the character of the solutions of the unperturbed equation. We exploit the freedom in the expansion to construct canonical obstacles which are confined to te interaction region of the waves. Fo soliton solutions, e.g., in the KdV equation, the interaction region is a finite domain around the origin; the canonical obstacles then do not generate secular terms in the homological equation. When the interaction region is infifnite, or semi-infinite, e.g., in wave-front solutions of the Burgers equation, the obstacles may contain resonant terms. The obstacles generate waves of a new type, which cannot be written as functionals of the solutions of the NF. When an obstacle contributes a resonant term to the NF, this leads to a non-standard update of th wave velocity.Comment: 13 pages, including 6 figure

HADRON SEAGULLS AND PARTON JETS

Satz H, ZARMI Y. HADRON SEAGULLS AND PARTON JETS. LETTERE AL NUOVO CIMENTO. 1976;15(12):421-428

Duality, the quark-parton model and inclusive pion electroproduction

The current fragmentation region is studied within the framework of the quark-parton model. The process gamma /sub V/N to pi X is considered. (11 refs)

A fresh look at exotics

Simple quark model considerations suggest that the least massive exotic mesons and baryons may occur close to the nucleon-antinucleon and nucleon-nucleon-antinucleon thresholds respectively. The fact that such cannels are energetically open for the decay of these exotics means that both production and decay can proceed via allowed duality diagrams. the authors suggest three specific reactions which may permit their detection. (6 refs)