INTEGRABILITY OF NONLINEAR SYSTEMS

By X. HISIT

NONLINEAR WAVES, SOLITONS, AND IST INTEGRABILITY AND HOW DETECT INTRODUCTION THE HIROTA BILINEAR METHOD LIE BIALGEBRAS, POISSON LIE GROUPS, AND DRESSING TRANSFORMATIONS ANALYTIC AND ASYMPTOTIC METHODS FOR NONLINEAR SINGULARITY ANALYSIS: REVIEW AND EXTENSIONS TESTS FOR THE PAINLEV´E PROPERTY EIGHT LECTURES INTEGRABLE SYSTEMS BILINEAR FORMALISM SOLITON THEORY QUANTUM AND CLASSICAL INTEGRABLE SYSTEMS