亨特 - 萨克斯顿方程有解析解[1]:
此外,Maple软件包 TWSolution 给出多个行波解:
- tanh 展开法
其中 f1、f2 是重解,因此,只有两个独立的行波解。
Hunter Saxton equation Maple TWSolution travelling wave solution1
Hunter Saxton equation travelling wave solution3 with Maple TWSolution package
- sech arctan 展开法
File:Hunter Saxton extended plot1.gif
- 综合展开
-
-
-
-
-
-
-
-
-
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
-
File:Hunter Saxton eq traveling wave plot 12.gif
-
File:Hunter Saxton eq traveling wave plot 13.gif
-
File:Hunter Saxton eq traveling wave plot 16.gif
-
File:Hunter Saxton eq traveling wave plot 17.gif
-
File:Hunter Saxton eq traveling wave plot 18.gif
-
File:Hunter Saxton eq traveling wave plot 19.gif
-
File:Hunter Saxton eq traveling wave plot 20.gif
-
File:Hunter Saxton eq traveling wave plot 21.gif
-
File:Hunter Saxton eq traveling wave plot 29.gif
-
File:Hunter Saxton eq traveling wave plot 31.gif
-
File:Hunter Saxton eq traveling wave plot 32.gif
-
File:Hunter Saxton eq traveling wave plot 33.gif
- 雅可比橢圓函數展开
-
Hunter Saxton traveling wave Jacobi function plot 35.gif
-
Jacobi function plot 35
-
Hunter Saxton traveling wave Jacobi function plot 36.gif
-
Hunter Saxton traveling wave Jacobi function plot 41.gif
-
Hunter Saxton traveling wave Jacobi function plot 43.gif
-
Hunter Saxton traveling wave Jacobi function plot 46.gif