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On the Continuum Limit for a Semi-discrete Hirota Equation

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时间:2017-11-01  来源:数学机械化重点实验室

题目:           On the Continuum Limit for a Semi-discrete Hirota Equation

报告人:      朱佐农(上海交通大学)

时间地点:   2017.11.08  13:00pm  N402

摘要:          We report a new semi-discrete Hirota equation which yields the Hirota equation in the continuum limit. We focus on the topic of how the discrete space step δ affects the simulation for the soliton solution to the Hirota equation. The Darboux transformation and explicit solution for the semi-discrete Hirota equation are constructed. We show that the continuum limit for the semi-discrete Hirota equation, including the Lax pair, the Darboux transformation and the explicit solution, yields the corresponding results for the Hirota equation asδ→0
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