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The application of KP reduction theory to the modified Camassa-Holm equation with linear dispersion term
发布时间:2022-03-21 09:12:43 访问次数: 字号:

腾讯会议: 264-292-156

邀请人:张英楠 副教授

报告摘要:

In this talk, we first give a review of the KP reduction theory and show how to derive bilinear KP, modified KP and 2 dimension Toda lattice from the full discrete KP equation. We demonstrate that bilinear equations to the modified Camassa-Holm equation with linear dispersion term and their determinant solutions either in Gram-type or Casorati-type can be reduced from the discrete KP equation through Miwa transformation. As an application, we obtain a set of semi-discrete bilinear modified Camassa-Holm equations and their general soliton solution in Gram-type or Casorati-type determinant form.