Nonlinear Evolution Equations and Dynamical Systems
Springer Berlin (Hersteller)
9783540391975 (ISBN)
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.
| Erscheint lt. Verlag | 7.7.2005 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Physics and Astronomy | Physics and Astronomy (R0) |
| Zusatzinfo | VI, 370 p. 2 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik |
| Schlagworte | Dynamical system • Dynamical Systems • Dynamisches System • Equations • Evolution • Nichtlineare Entwicklungsgleichung |
| ISBN-13 | 9783540391975 / 9783540391975 |
| Zustand | Neuware |
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