Nonlinear Evolution Equations and Dynamical Systems: Proceedings of the Meeting Held at the University of Lecce June 20–23, 1979: 120 (Lecture Notes in Physics, 120) - Softcover

Softcover

ISBN 10: 3540099719 ISBN 13: 9783540099710

Publisher: Springer, 1980

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 1980
• Language: English
• ISBN 10: 3540099719
• ISBN 13: 9783540099710
• Binding: Paperback
• Number of pages: 376
• Editor: Boiti M., Pempinelli F., Soliani G.