Linked e-resources
Details
Table of Contents
1. Introduction
2. Singularity analysis: Painlevé test
3. Integrating ordinary differential equations
4. Partial Differential Equations: Painlevé test
5. From the test to explicit solutions of PDEs
6. Integration of Hamiltonian Systems
7. Discrete nonlinear equations
8. FAQ (Frequently asked questions)
9. Selected Problems Integrated by Painlevé functions. A. The classical results of Painlevé and followers. B. More on the Painlevé transcendents. C. Brief presentation of the elliptic functions. D. Basic introduction to the Nevanlinna theory. E. The bilinear formalism. F. Algorithm for computing the Laurent series. Index.
2. Singularity analysis: Painlevé test
3. Integrating ordinary differential equations
4. Partial Differential Equations: Painlevé test
5. From the test to explicit solutions of PDEs
6. Integration of Hamiltonian Systems
7. Discrete nonlinear equations
8. FAQ (Frequently asked questions)
9. Selected Problems Integrated by Painlevé functions. A. The classical results of Painlevé and followers. B. More on the Painlevé transcendents. C. Brief presentation of the elliptic functions. D. Basic introduction to the Nevanlinna theory. E. The bilinear formalism. F. Algorithm for computing the Laurent series. Index.