Nonlinear evolution equations and dynamical systems : proceedings of the meeting held at the University of Lecce, June 20-23, 1979
著者
書誌事項
Nonlinear evolution equations and dynamical systems : proceedings of the meeting held at the University of Lecce, June 20-23, 1979
(Lecture notes in physics, vol. 120)
Springer-Verlag, 1980
- : gw
- : us
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注記
Includes bibliographical references and index
内容説明・目次
目次
Nonlinear evolution equations solvable by the spectral transform: Some recent results.- Quantization of completely integrable Hamiltonian systems.- Reduction technique for matrix nonlinear evolution equations.- Similarity solutions of the korteweg-de vries equation, Baclund transformations and painleve transcendents.- Coadjoint structures, solitions, and integrability.- Around the classical string problem.- The generalized Riemann-Hilbert problem and the spectral interpretation.- The inverse scattering problem and applications to arithmetics, approximation theory and transcendental numbers.- The soliton theory of strong langmuir turbulence.- Geometry of backlund transformations.- Existence of solutions and scattering theory for the non linear schroedinger equation.- A geometrical approach to the nonlinear solvable equations.- Properties of a special function related to self-similar solutions of certain nonlinear wave equations.- Vortex motions and conformal mappings.- Analytical solutions of the sine-gordon equation and their application to josephson tunnel junctions.- Geometry of the akns - ZS inverse scattering scheme.- Fundamental equations of classical and of quantum physics as special cases of a nonlinear equation.- Noether's theorem and infinities of polynomial conserved densities.
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