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AKNS方程的三线性型及周期孤立波解

Trilinar form and periodic wave solutions for AKNS equation

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【作者】 傅海明戴正德

【Author】 FU Hai-ming;DAI Zheng-de;School of Education, Guangzhou Hua Xia Vocational College;Department of Mathematics, Yunnan University;

【机构】 广州华夏职业学院教育学院云南大学数学与统计学院

【摘要】 三线性型的求解较为困难,借助新试探函数,结合软件Matlab,求解了Ablowitz-Kaup-Newell-Segur方程.获得了若干其他方法不曾给出的形式更为丰富的新的显式周期孤立波解.该方法较为高效,也可将该方法适用于相当一部分非线性方程.

【Abstract】 It was difficult to solve the trilinear form, with the help of new trial function and mathematical software Matlab, the Ablowitz-Kaup-Newell-Segur equation was solved. Some new explicit periodic solitary wave solutions which were not given by other methods were obtained. It was not difficult to see that the method was very efficient and suitable for a number of nonlinear equations.

【基金】 国家自然科学基金资助项目(11361048);广东省教育厅特色创新类项目(2021KTSCX355)
  • 【文献出处】 哈尔滨商业大学学报(自然科学版) ,Journal of Harbin University of Commerce(Natural Sciences Edition) , 编辑部邮箱 ,2022年04期
  • 【分类号】O175
  • 【下载频次】25
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