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

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。

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

According to the principle of homogeneous balance, the exact solutions of a cubic-quintic nonlinear Schrödinger 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.