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借助带有两个位势的4×4矩阵谱问题之间的规范变换,得到了扰动Korteweg-de Vries方程的Darboux变换,并由此构造出扰动Korteweg-de Vries方程的显式解.
Abstract：A Darboux transformation for the perturbed Korteweg-de Vries equation was derived with the aid of the gauge transformation of spectral problems between the corresponding 4×4 matrices with two potentials,from which some explicit solutions of the perturbed Korteweg-de Vries equation were constructed.
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基本信息:
中图分类号:O175.29
引用信息:
[1]何国亮,杨本朝.扰动Korteweg-de Vries方程的Darboux变换及其显式解[J],2012,44(03):4-7.
基金信息:
河南省自然科学基金资助项目,编号092300410202,102300410214