Nonlinear Phenomena
Springer Berlin (Verlag)
978-3-540-12730-7 (ISBN)
Comments on the inverse scattering transform and related nonlinear evolution equations.- The geometry of complex self-dual Einstein spaces.- Integrable dynamical systems and related mathematical results.- Chiral fields, self-dual Yang-Mills fields as integrable systems, and the role of the Kae-Moody algebra.- The homogeneous hilbert problem, the Geroch conjecture, and a new nine-parameter solution of the Einstein-Maxwell equations.- The inverse scattering transform for multidimensional (2+1) problems.- The technique of variable separation for partial differential equations.- Collectivity and geometry.- Some physical applications of solitons.- Solition models of long internal waves.- Wobbling kinks in ? 4 and sine-Gordon theory.- Lie groups and solutions of nonlinear differential equations.- Symmetry reduction for nonlinear partial differential equations.- Energy transport in an inhomogeneous Heisenberg ferromagnetic chain.- Bäcklund transformations in general relativity.- A prolongation structure for a generalization of the classical massive thirring model.- Atomic nuclei as solitons.- Integrability in dynamical systems and the Painlevé property.- Criteria for the existence of Bäcklund transformations.- The "Weak Painlevé" property and integrability of two-dimensional Hamiltonian systems.- On the Zakharov equations in one dimension.- Infinity manifolds on energy levels for celestial mechanics.- Order in the Chaotic region.- Painlevé Ping-Pong P3-P5.- Chaotic evolution of a system of weakly interacting ocean waves.- Preliminary observations of large amplitude tidal internal waves near the Strait of Messina.- Lie series and Riccati equations.- Linear and nonlinear differential equations as invariants on coset bundles.
| Erscheint lt. Verlag | 1.9.1983 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Zusatzinfo | XII, 457 p. 19 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 170 x 244 mm |
| Gewicht | 806 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | differential equation • Dynamical system • Dynamical Systems • General relativity • Geometry • hamiltonian • Invariant • linear differential equation • Mechanics • Nichtlineare Gleichung • Nonlinear differential equation • partial differential equation • Phenomena • Relativity • scattering • Solution • Theory of relativity |
| ISBN-10 | 3-540-12730-5 / 3540127305 |
| ISBN-13 | 978-3-540-12730-7 / 9783540127307 |
| Zustand | Neuware |
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