Nonlinear Phenomena

Nonlinear Phenomena Proceedings of the CIFMO School and Workshop held at Oaxtepec, México November 29 – December 17, 1982 / [electronic resource] : edited by K. B. Wolf. - XII, 457 p. 19 illus. online resource. - Lecture Notes in Physics, 189 0075-8450 ; . - Lecture Notes in Physics, 189 .

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.

9783540387213

10.1007/3-540-12730-5 doi


Physics.
Physics.
Theoretical, Mathematical and Computational Physics.

QC19.2-20.85

530.1
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