Nonlinear Evolution Equations and Dynamical Systems
Nonlinear Evolution Equations and Dynamical Systems Proceedings of the Meeting Held at the University of Lecce June 20–23, 1979 / [electronic resource] :
edited by M. Boiti, F. Pempinelli, G. Soliani.
- VI, 370 p. 2 illus. online resource.
- Lecture Notes in Physics, 120 0075-8450 ; .
- Lecture Notes in Physics, 120 .
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, Bäclund transformations and painlevè 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 bäcklund transformations -- Existence of solutions and scattering theory for the non linear schrödinger 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.
9783540391975
10.1007/3-540-09971-9 doi
Mathematical physics.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
QC5.53
530.15
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, Bäclund transformations and painlevè 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 bäcklund transformations -- Existence of solutions and scattering theory for the non linear schrödinger 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.
9783540391975
10.1007/3-540-09971-9 doi
Mathematical physics.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
QC5.53
530.15