Integrability of Nonlinear Systems [electronic resource] /
edited by Yvette Kosmann-Schwarzbach, K. M. Tamizhmani, Basil Grammaticos.
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
- XII, 340 p. online resource.
- Lecture Notes in Physics, 638 0075-8450 ; .
- Lecture Notes in Physics, 638 .
Nonlinear Waves, Solitons, and IST (M.J. Ablowitz) -- Integrability - - and How to Detect it (B. Grammaticos, A. Ramani) -- Introduction to the Hirota Bilinear Method (J. Hietarinta) -- Lie Bialgebras, Poisson Lie Groups, and Dressing Transformations (Y. Kosmann-Schwarzbach) -- Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: A Review and Extensions of Tests for the Painlevé Property (M.D. Kruskal, N. Joshi, R. Halburd) -- Eight Lectures on Integrable Systems (F. Magri, P. Casati, G. Falqui, M. Pedroni) -- Bilinear Formalism in Soliton Theory (J. Satsuma) -- Quantum and Classical Integrable Systems ( M.A. Semenov-Tian-Shansky).
The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be complemented by a companion book dedicated to discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.
9783540409625
10.1007/b94605 doi
Physics.
Differential Equations.
Differential equations, partial.
Mathematical physics.
Engineering.
Physics.
Mathematical Methods in Physics.
Ordinary Differential Equations.
Partial Differential Equations.
Complexity.
QC5.53
530.15
Nonlinear Waves, Solitons, and IST (M.J. Ablowitz) -- Integrability - - and How to Detect it (B. Grammaticos, A. Ramani) -- Introduction to the Hirota Bilinear Method (J. Hietarinta) -- Lie Bialgebras, Poisson Lie Groups, and Dressing Transformations (Y. Kosmann-Schwarzbach) -- Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: A Review and Extensions of Tests for the Painlevé Property (M.D. Kruskal, N. Joshi, R. Halburd) -- Eight Lectures on Integrable Systems (F. Magri, P. Casati, G. Falqui, M. Pedroni) -- Bilinear Formalism in Soliton Theory (J. Satsuma) -- Quantum and Classical Integrable Systems ( M.A. Semenov-Tian-Shansky).
The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be complemented by a companion book dedicated to discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.
9783540409625
10.1007/b94605 doi
Physics.
Differential Equations.
Differential equations, partial.
Mathematical physics.
Engineering.
Physics.
Mathematical Methods in Physics.
Ordinary Differential Equations.
Partial Differential Equations.
Complexity.
QC5.53
530.15