Applications to solutions of differential equations
Part of the Modern Birkhäuser Classics book series (MBC)
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:
Sine-Gordan: utt − uxx = sin u.
Korteweg-de Vries(K-dV): ut + uxxx + u•ux = 0.
Kadomtsev-Petviashvili (K-P) ; uyy + (ut+uxxx+u•ux)x = 0.
KeywordsDifferential Equation Mathematical Physic Branch Point Algebraic Geometry Theta Function
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© Birkhäuser Boston 2007