Nonlinear phenomena : proceedings of the CIFMO School and Workshop held at Oaxtepec, Mexico, November 29-December 17, 1982
著者
書誌事項
Nonlinear phenomena : proceedings of the CIFMO School and Workshop held at Oaxtepec, Mexico, November 29-December 17, 1982
(Lecture notes in physics, 189)
Springer-Verlag, 1983
- : gw
- : us
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注記
"School and Workshop on Non-Linear Phenomena was planned as an activity sponsored by the Centro Internacional de Física y Matemáticas Orientadas (CIFMO)"--P. iii
Includes bibliographies and index
内容説明・目次
目次
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.- Backlund 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 Painleve property.- Criteria for the existence of Backlund transformations.- The "Weak Painleve" 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.- Painleve 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.
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