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) Sine-Gordan: utt − uxx = sin u. 2) Korteweg-de Vries(K-dV): ut + uxxx + u•ux = 0. 3) Kadomtsev-Petviashvili (K-P) ; uyy + (ut+uxxx+u•ux)x = 0. KeywordsDifferential EquationMathematical PhysicBranch PointAlgebraic GeometryTheta FunctionThese 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.
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