AKNS方程的三线性型及周期孤立波解  

Trilinar form and periodic wave solutions for AKNS equation

作　　者：傅海明[1] 戴正德[2] FU Hai-ming;DAI Zheng-de(School of Education,Guangzhou Hua Xia Vocational College,Guangzhou 510935,China;Department of Mathematics,Yunnan University,Kunming 650091,China)

机构地区：[1]广州华夏职业学院教育学院,广州510935 [2]云南大学数学与统计学院,昆明650091

出　　处：《哈尔滨商业大学学报（自然科学版）》2022年第4期464-468,共5页Journal of Harbin University of Commerce：Natural Sciences Edition

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).

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.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 

分 类 号：O175[理学—数学]