Solitons : introduction and applications : Winter school : Papers

Berlin Springer. 1988. solitons, Conference publication, Solitons - Congresses., Inverse scattering transform., Evolution equations, Nonlinear., Solitons - CongreÌ?s., Soliton, Tiruchirapalli , 1987, Congresses., Illustrated, text 24 cm. 367 p. gráf. Encuadernación en tapa dura de editorial ilustrada. Idioma Inglés. Muthusamy Lakshmanan (ed. ). Springer series in nonlinear dynamics. Springer Series in Nonlinear Dynamics. With 29 Figures --Title page verso. Includes bibliographical references and index. English. Description based on print version record. Other format: ISBN: 3-540-18588-7. Contents I Introduction -- Inaugural Address â?? The Dynamics of Dynamics -- â??The Waveâ?? â??Par Excellenceâ??, the Solitary Progressive Great Wave of Equilibrium of the Fluid: An Early History of the Solitary Wave (With 8 Figures) -- II Mathematical Theory: IST, Symmetries, Singularity Structure and Integrability -- Topics Associated with Nonlinear Evolution Equations and Inverse Scattering in Multidimensions -- Inverse Problems and a Unified Approach to Integrability in 1, 1+1 and 2+1 Dimensions -- Gauge Unification of Integrable Nonlinear Systems (With 3 Figures) -- Prolongation Structure in One and Two Dimensions -- Integrable Equations in Multi-Dimensions (2+1) are Bi-Hamiltonian Systems -- Painlevé Analysis and Integrability Aspects of Nonlinear Evolution Equations -- Generalised Burgers Equations and Connection Problems for Euler-Painlevé Transcendents -- BÃ?cklund Transformations and Soliton Wave Functions -- Comparison of Some Numerical Schemes for the K-dV Equation -- K-dV Like Equations with Domain Wall Solutions and Their Hamiltonians -- III Lattice Solitons -- Lattice Solitons and Nonlinear Diatomic Models -- Recent Results in Toda Lattice -- Construction of Exact Invariants for One- and Two-Dimensional Classical Systems -- Nonlinear Chains and Kink-Impurity Interactions -- IV Statistical Mechanics and Quantum Aspects -- Quantum Solitons: An Overview -- Soliton Statistical Mechanics: Statistical Mechanics of the Quantum and Classical Integrable Models -- Exactly Solvable Models in Statistical Mechanics (With 12 Figures) -- V Applications: Physics and Biology -- Solitons and Some Other Special Solutions in Field Theory -- Solitary Waves of the â??2-Dimensional Ferromagnetâ?? -- Soliton Propagation in Optical Fibres (With 2 Figures) -- Davydovâ??s Soliton -- Generalized Nonlinear Schrödinger Equations in Quantum Fluid Dynamics -- Index of Contributors . ISBN: 3540185887; 0387185887 (New York)