Nonlinear Integrable Equations: Recursion Operators, Group Theoretical and Hamiltonian Structures of Soliton Equations

✍ Scribed by B. G. Konopelchenko (eds.)

Publisher: Springer Berlin Heidelberg
Year: 1987
Tongue: English
Leaves: 308
Series: Lecture Notes in Physics 270
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Introduction....Pages 1-17
General ideas of the recursion operator method and adjoint representation....Pages 18-30
Linear matrix bundle....Pages 31-64
BC group and general integrable equations under reductions....Pages 65-90
Quadratic bundle with Z 2 grading....Pages 91-126
Polynomial and rational bundles....Pages 127-149
Polynomial and rational bundles....Pages 150-167
General differential spectral problem....Pages 168-207
Generalization and reductions of the differential spectral problem and integrodifferential spectral problems....Pages 208-221
Two-dimensional matrix spectral problem....Pages 222-244
Two-dimensional differential spectral problem....Pages 245-270
Towards to the general theory of recursion structure of nonlinear evolution equations....Pages 271-308

✦ Subjects

Mathematical and Computational Physics

📜 SIMILAR VOLUMES

Soliton equations and Hamiltonian system

📁 Soliton equations and Hamiltonian systems

✍ L. A. Dickey 📂 Library 📅 2003 🏛 World Scientific 🌐 English

Dickey (mathematics, U. of Oklahoma) provides a detailed description of solitons, which have numerous applications in mechanics and physics. The new edition contains several additions and modifications including discussion of the Zakharov-Shabat matrix hierarchy with rational dependence on a spectra

Dirac Structures and Integrability of No

📁 Dirac Structures and Integrability of Nonlinear Evolution Equations

✍ Irene Dorfman 📂 Library 📅 1993 🏛 John Wiley & Sons 🌐 English

An introduction to the area for non-specialists with an original approach to the mathematical basis of one of the hottest research topics in nonlinear science. Deals with specific aspects of Hamiltonian theory of systems with finite or infinite dimensional phase spaces. Emphasizes systems which occu

Dirac Structures and Integrability of No

📁 Dirac Structures and Integrability of Nonlinear Evolution Equations (Nonlinear Science)

✍ Irene Dorfman 📂 Library 🌐 English

Solitons and Nonlinear Wave Equations

📁 Solitons and Nonlinear Wave Equations

✍ R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, and H. C. Morris 📂 Library 🌐 English

Partial Integral Operators and Integro-D

📁 Partial Integral Operators and Integro-Differential Equations

✍ Jurgen Appell, Anatolij S. Kalitvin, Petr P. Zabrejko 📂 Library 📅 2009 🌐 English

Provides the first self-contained account of integro-differential equations of the Barbashin type and partial integral operators--including existence, uniqueness, stability, and perturbation results.

Partial Integral Operators and Integro-d

📁 Partial Integral Operators and Integro-differential Equations

✍ Jurgen Appell, Anatolij Kalitvin, Petr Zabrejko 📂 Library 📅 2000 🏛 M. Dekker 🌐 English

Three authors, from Germany, Russia, and Belorussia, examine the two related notions. They describe partial integral operators as linear or nonlinear operators with integrals that depend on a parameter. The integro-differential equations are of the Barbashin type in that the right-hand sides contain