Nonlinear Physics
Springer Berlin (Verlag)
978-3-540-52389-5 (ISBN)
I Integrable Systems: Hamiltonian Structure, Symmetries, Bäcklund and Darboux Transformations.- Liouville Integrability of Zero Curvature Equations.- 2+1 Dimensional Integrable Hierarchies, Lax Operators and Relevant Algebraic Structures.- Determination of Nondegenerate Darboux Operators of First Order in 1+2 Dimensions.- A Series of New Exact Solutions to the Nonlinear Equation yt+yxxx? 6y2yx+6?yx=0.- Bäcklund Transformations for the Isospectral and Non-Isospectral KdV Hierarchies.- Multiple Darboux Transformations and Multiple Pole Solutions for AKNS Hierarchy.- A Lie Algebraic Structure of G J. and Its Gauge Equivalent Yang Hierarchies.- II Finite Dimensional Dynamical Systems.- Coupled Nonlinear Oscillators: Symmetries and Integrability.- Classical Integrable Systems Generated Through Nonlinearization of Eigenvalue Problems.- The Confocal Involutive System and the Integrability of the Nonlinearized Lax Systems of AKNS Hierarchy.- Two Kinds of Finite-Dimensional Systems Related to the Generalized Schrödinger Equation.- Nonlinearization of the Lax Pair for the KdV Equation and Integrable Hamiltonian Systems.- III Quantum Aspects and Statistical Mechanics.- Quantum and Classical Statistical Mechanics of the Integrable Models in 1 + 1 Dimensions.- Link Polynomials and Exactly Solvable Models.- R-Matrices and Higher Poisson Brackets for Integrable Systems.- Classical R-Matrix and Semi-Simple Lie Algebras.- Witten's Approach, Braid Group Representations and X-Deformations.- IV Physical Phenomena.- Nonlinear Evolution Equations, Solitons, Chaos and Cellular Automata.- Kadomtsev-Petviashvili Equations in the Description of Water Waves.- Three-Dimensional Lattice Model Based on Soliton Theory.- Soliton Phenomena in a Porous Medium.- Two-Dimensional Chiral GaugeTheories on a Lattice.- Transformation for the Solutions of the Two-Dimensional Toda Lattice.- V Other Topics.- Some Ideas on Nonlinear Evolution Equations.- Some Problems of the Generalized Kuramoto-Sivashinsky Type Equations with Dispersive Effects.- Standard Nonlinearities Associated with KdV-like Two-Soliton Solutions.- Complex Singularities and the Riemann Surface for the Burgers Equation.- From Soliton Theory to String Theory.- Non-Linear Equations from a String-Theoretical Point of View.- Painlevé Analysis and Integrability of the Evolution Equation ut=uxxx+u2uxx+3uux2+l/3u4ux.- List of Participants.- Index of Contributors.
Erscheint lt. Verlag | 2.7.1990 |
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Reihe/Serie | Research Reports in Physics |
Mitarbeit |
Stellvertretende Herausgeber: Yunbo Zeng |
Zusatzinfo | IX, 287 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 170 x 242 mm |
Gewicht | 523 g |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik | |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
Naturwissenschaften ► Physik / Astronomie ► Thermodynamik | |
Schlagworte | Integrable Systeme • Mathematische Physik • Mechanics • Nichtlinear Dynamik • Nonlinear Dynamics • Solitonen • Statistica |
ISBN-10 | 3-540-52389-8 / 3540523898 |
ISBN-13 | 978-3-540-52389-5 / 9783540523895 |
Zustand | Neuware |
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