Glimpses of soliton theory : the algebra and geometry of nonlinear PDEs / Alex Kasman.

Format:

Book

Author/Creator:

Kasman, Alex, 1967- author.

Series:

Student mathematical library ; v. 54.

The Student Mathematical Library ; v. 54

Language:

English

Subjects (All):

Korteweg-de Vries equation.

Geometry, Algebraic.

Differential equations, Partial.

Physical Description:

1 online resource (xvi, 304 pages) : illustrations.

Other Title:

Student Mathematical Library.

Place of Publication:

Providence, R.I. : American Mathematical Society, [2010]

System Details:

text file

Contents:

Chapter 1. Differential equations Chapter 2. Developing PDE intuition Chapter 3. The story of solitons Chapter 4. Elliptic curves and KdV traveling waves Chapter 5. KdV $n$-solitons Chapter 6. Multiplying and factoring differential operators Chapter 7. Eigenfunctions and isospectrality Chapter 8. Lax form for KdV and other soliton equations Chapter 9. The KP equation and bilinear KP equation Chapter 10. The Grassmann cone $\Gamma _{2,4}$ and the bilinear KP equation Chapter 11. Pseudo-differential operators and the KP hierarchy Chapter 12. The Grassman cone $\Gamma _{k,n}$ and the bilinear KP hierarchy Chapter 13. Concluding remarks Appendix A. Mathematica guide Appendix B. Complex numbers Appendix C. Ideas for independent projects

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Kasman, Alex, 1967- Glimpses of soliton theory :

ISBN:

9781470416379

Access Restriction:

Restricted for use by site license.