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Nonlinear Evolution Equations and Dynamical Systems, Proceedings of the ICM2002 Satellite Conference.
This book contains the papers presented at the ICM2002 Satellite Conference on Nonlinear Evolution Equations and Dynamical Systems. About 50 mathematicians and scientists attended the meeting - including E Witten (IAS), C Nappi (Princeton), K Khanin (Cambridge), D Phong (Columbia), d'Hoker (UCL...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific
2003.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; CONTENTS; Soliton Excitations and Periodic Waves without Dispersion Relation in (2 + 1)-Dimensional Dispersive Long Wave Equation; 1. Introduction; 2. Extended Painleve Expansions; 3. Periodic Solutions of the DLWE; 4. Summary and Discussions; References; Global Bifurcation from the Eigenvalues of Some Semilinear Biharmonic Equations; 1. Introduction; 2. The Linearized Problem; 3. Global Bifurcation Results for the Biharmonic Operator; References; The Multisoliton Solutions of the KP Equation with Self-consistent Sources; 1. Introduction
- 2. The KP Equation with Self-consistent Sources3. Hirota Form's Solution; 4. Wronskian Form's Solution; References; A Direct Extension of Lie Algebra An-1; 1. Introduction; 2. Hierarchy of Evolution Equations Associated with Lie Algebra gl(2 C); References; On Gauge-gravity Correspondence and Open-closed String Duality; 1. Introduction; 2. Large N and Strings; 3. Gauge-Gravity Correspondence for Less Supersymmetries; 4. Confinement; References; Integrable Semi-discretizations of the AKNS Equation and the Hirota-Satsuma Equation; 1. Introduction
- 2. Integrable Semi-discretization of the AKNS Equation4. An Integrable Differential-Difference Equation for (5); 5. Another Integrable Differential-Difference Equation for (5); 6. Conclusion and Discussion; References; Differential Equations and Conformal Field Theories; 1. Introduction; 2. Conformal Field Theories; 3. Differential Equations and Chiral Genus-Zero Correlation Functions; 4. Differential Equations and Chiral Genus-One Correlation Functions; References; Lie Symmetries for Lattice Equations; 1. Introduction; References
- Multi-scale Reduction for Differential Difference Equations and Integrability1. Introduction; 2. Multiscale reduction for PDE; 3. Multiscale reduction for DDE; 4. Study of the NDNLS; 5. Conclusions; References; p-Harmonic Maps with Applications; 1. Introduction; 2. Existence Theory; 3. Uniqueness; 4. Regularity; 5. Solutions to Dirichlet Problem; 6. n-Energy Identities; 7. Representing Homotopy Classes by p-Harmonic Maps; 8. A Bernstein-type Theorem; 9. Isoperimetric Inequalities and Sphere Theorems; References
- The Infinitely Many Conservation Laws of the Lax Integrable Differential-difference Systems1. Introduction; 2. The CLs for the (1+1)-Dimensional Differential- Difference Systems; 3. The CLs for the High Dimensional Differential- Difference Systems; 4. Conclusions; References; Quivers and Hopf Algebras; 1. Path Algebras and Path Coalgebras; 2. Cotensor Product Coalgebras; 3. Hopf Bimodules over Group Algebras; 4. Hopf Quivers; 5. Hopf Structures on Path Coalgebras; References; Theory of Bidirectional Solitons on Water; 1. Introduction