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

Format:

Book

Author/Creator:

Kasman, Alex, 1967- author.

Series:

The Student Mathematical Library, v. 100

Language:

English

Subjects (All):

Korteweg-de Vries equation.

Geometry, Algebraic.

Differential equations, Partial.

Physical Description:

1 online resource

Edition:

Second edition.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2023]

System Details:

Mode of access : World Wide Web

Summary:

"By covering a carefully selected subset of topics, offering detailed explanations and examples, and with the occasional assistance of technology, this book aims to introduce undergraduate students to a subject normally only encountered by graduate students and researchers. Because of its interdisciplinary nature (bringing together different branches of mathematics as well as having connections to science and engineering), it is hoped that this book would be ideal for a one semester special topics class, "capstone" or reading course."-- Provided by publisher.

Contents:

Differential equations Developing PDE intuition The story of solitons Elliptic curves and KdV traveling waves KdV $n$-solitons and $\tau $-functions Multiplying and factoring differential operators Eigenfunctions and isospectrality Lax form for KdV and other soliton equations The KP equation and bilinear KP equation $\Gamma _{2,4}$ and the bilinear KP equation Pseudo-differential operators and the KP hierarchy $\Gamma {k,n}$ and the bilinear KP hierarchy Concluding remarks Mathematica guide Complex numbers Ideas for independent projects

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2023

Description based on print version record.

Other Format:

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

ISBN:

9781470473105 (online)

Access Restriction:

Restricted for use by site license.