Nonlinear Phenomena
Springer Berlin (Hersteller)
9783540387213 (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 | 13.7.2005 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Physics and Astronomy | Physics and Astronomy (R0) |
| Zusatzinfo | XII, 457 p. 19 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik |
| Schlagworte | differential equation • Dynamical system • Dynamical Systems • General relativity • Geometry • hamiltonian • Invariant • linear differential equation • Mechanics • Nonlinear differential equation • partial differential equation • Relativity • scattering • Solution • Theory of relativity |
| ISBN-13 | 9783540387213 / 9783540387213 |
| Zustand | Neuware |
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