Advertisement

Applications to solutions of differential equations

  • David Mumford
Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

The corollaries of Fay’s trisecant identity can be used to construct special solutions to many equations occurring in Mathematical Physics. In this section we will consider the following equations:
  1. 1)

    Sine-Gordan: utt − uxx = sin u.

     
  2. 2)

    Korteweg-de Vries(K-dV): ut + uxxx + u•ux = 0.

     
  3. 3)

    Kadomtsev-Petviashvili (K-P) ; uyy + (ut+uxxx+u•ux)x = 0.

     

Keywords

Differential Equation Mathematical Physic Branch Point Algebraic Geometry Theta Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Boston 2007

Authors and Affiliations

  • David Mumford
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

Personalised recommendations