The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1‐Dimensional Coupled Equations

Hongfei Pan and Tiecheng Xia

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: A 1 + 1‐dimensional coupled soliton equations are decomposed into two systems of ordinary differential equations. The Abel‐Jacobi coordinates are introduced to straighten the flows, from which the algebrogeometric solutions of the coupled 1 + 1‐dimensional equations are obtained in terms of the Riemann theta functions.

Date: 2013
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https://doi.org/10.1155/2013/782436

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:782436

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