Titlebook: Integrability of Nonlinear Systems; Y. Kosmann-Schwarzbach,B. Grammaticos,K. M. Tamizh Conference proceedings 1997 Springer-Verlag Berlin

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书目名称Integrability of Nonlinear Systems影响因子(影响力)




书目名称Integrability of Nonlinear Systems影响因子(影响力)学科排名




书目名称Integrability of Nonlinear Systems网络公开度




书目名称Integrability of Nonlinear Systems网络公开度学科排名




书目名称Integrability of Nonlinear Systems被引频次




书目名称Integrability of Nonlinear Systems被引频次学科排名




书目名称Integrability of Nonlinear Systems年度引用




书目名称Integrability of Nonlinear Systems年度引用学科排名




书目名称Integrability of Nonlinear Systems读者反馈




书目名称Integrability of Nonlinear Systems读者反馈学科排名

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,Integrability — and how to detect it, by “integrability”. The integrability detector on which this whole course in based is the “Painlevé method” which links the integrable character of a (differential) system to the singularity structure of its solutions. Recent results on integrable discrete systems are also discussed here. They are,

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Introduction to the Hirota bilinear method,scuss in detail how this works for equations in the Korteweg-de Vries class. We also show how Hirota’s method can be used to search for new integrable evolution equations and list the results that have been obtained before for the mKdV/sG and nlS classes.

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Bifurcations, chaos, controlling and synchronization of certain nonlinear oscillators, of damped and driven type. By taking a representative set of examples such as the Duffing, Bonhoeffer-van der Pol and MLC circuit oscillators, we briefly explain the various bifurcations and chaos phenomena associated with these systems. We use numerical and analytical as well as analog simulation

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Quantum and classical integrable systems,derlying hidden symmetry algebra. (In typical applications the latter is either the universal enveloping algebra of an affine Lie algebra or its q-deformation.) A similar relation also holds in the classical case. We discuss different guises of this very important relation and its implication for th

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Conference proceedings 1997 Many mathematical aspects of nonlinear systems, both continuous and discrete, are analyzed here with particular emphasis on the domains of inverse-scattering techniques, singularity analysis, the bilinear formalism, chaos in nonlinear oscillators, Lie-algebraic and group-theoretical methods, classi

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