Nonlinear Evolution Equations and Dynamical Systems

Proceedings of the Meeting Held at the University of Lecce June 20¿23, 1979
Herausgegeben:Boiti, M.; Pempinelli, F.; Soliani, G.

• Broschiertes Buch

Produktdetails

• Lecture Notes in Physics 120
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-09971-0
• 1980
• Seitenzahl: 380
• Erscheinungstermin: 1. April 1980
• Englisch
• Abmessung: 244mm x 170mm x 21mm
• Gewicht: 653g
• ISBN-13: 9783540099710
• ISBN-10: 3540099719
• Artikelnr.: 41201082

Inhaltsangabe

Nonlinear evolution equations solvable by the spectral transform: Some recent results.- Quantization of completely integrable Hamiltonian systems.- Reduction technique for matrix nonlinear evolution equations.- Similarity solutions of the korteweg-de vries equation, Bäclund transformations and painlevè transcendents.- Coadjoint structures, solitions, and integrability.- Around the classical string problem.- The generalized Riemann-Hilbert problem and the spectral interpretation.- The inverse scattering problem and applications to arithmetics, approximation theory and transcendental numbers.- The soliton theory of strong langmuir turbulence.- Geometry of bäcklund transformations.- Existence of solutions and scattering theory for the non linear schrödinger equation.- A geometrical approach to the nonlinear solvable equations.- Properties of a special function related to self-similar solutions of certain nonlinear wave equations.- Vortex motions and conformal mappings.- Analytical solutions of the sine-gordon equation and their application to josephson tunnel junctions.- Geometry of the akns - ZS inverse scattering scheme.- Fundamental equations of classical and of quantum physics as special cases of a nonlinear equation.- Noether's theorem and infinities of polynomial conserved densities.