含有三阶色散和自频移与自陡峭项的立方-五次非线性薛定谔方程的孤子解  

Soliton solutions of a cubic-quintic nonlinear Schr?dinger equation with third-order dispersion,a self-frequency shift and self-steepness term

作　　者：练少鹏 李威[1] LIAN ShaoPeng;LI Wei(College of Mathematics and Physics,Beijing University of Chemical Technology,Beijing 100029,China)

机构地区：[1]北京化工大学数理学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2022年第3期108-114,共7页Journal of Beijing University of Chemical Technology(Natural Science Edition)

摘　　要：研究了含有三阶色散、自频移与自陡峭项的立方-五次非线性薛定谔方程。根据齐次平衡原则,运用Riccati方程-展开法、Riccati方程-倒数展开法、Exp-展开法得到非线性薛定谔方程的几种精确解,即亮-孤立波、激波、周期波,图示了解的波形结构,并比较了3种方法的关联性。According to the principle of homogeneous balance,the exact solutions of a cubic-quintic nonlinear Schr9 dinger equation with third-order dispersion,self-frequency shift and self-steepness terms have been obtained using the Riccati equation-expansion method,the Riccati equation-reciprocal expansion method,and the Exp-expansion method,including optical solitons,shock waves and periodic waves.We graphically illustrate its waveform structure and compare the three methods.

关 键 词：非线性薛定谔方程 Riccati方程-展开法 Exp-展开法 齐次平衡原则 孤立波 

分 类 号：O193[理学—数学]