The Nonlinear Evolution Equations Related to the Wadati-Konno-Ichikawa Spectral Problem
The Nonlinear Evolution Equations Related to the Wadati-Konno-Ichikawa Spectral Problem
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DOI：
10.1143/ptp.69.48
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发表时间：
1983
影响因子：
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通讯作者：
M. Boiti;F. Pempinelli;G. Tu
中科院分区：
文献类型：
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作者：
M. Boiti;F. Pempinelli;G. Tu
研究了Wadati-Konno-Ichikawa（WKI）谱问题，构造了与之相关的非线性发展方程（NLEE）。与WKI已经发现的可积NLEE一起，导出了新的纯微分可解NLEE。研究了生成所有NLEE的积分-微分算子L的性质。它表明，通常成功的程序用于获得Bäcklund变换不工作，这些高度非线性的发展方程。
The Wadati-Konno-Ichikawa (WKI) spectral problem is considered and the nonlinear evolution equations (NLEE) related to this problem are explicitly constructed. Together with the integrable NLEE already found by WKI new pure differential solvable NLEEs are derived. The properties of the integro-differential operatorLgenerating all the considered NLEEs are studied. It is shown that the usually successful procedure used to derive the Bäcklund transformation does not work with these highly nonlinear evolution equations.