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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
【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.
【关键词】 Ablowitz-Kaup-Newell-Segur方程;
三线性型;
周期孤立波解;
精确解;
爆破;
【Key words】 Ablowitz-Kaup-Newell-Segur equation; trilinar form; periodic soliton wave solution; exact solution; blasting;
【Key words】 Ablowitz-Kaup-Newell-Segur equation; trilinar form; periodic soliton wave solution; exact solution; blasting;
【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