阶跃初值条件解的完全分类: 流体力学中广义 Gardner 方程的分析与数值验证

张岩,郝惠琴,郭睿

The Complete Classification of Solutions to the Step Initial Condition: Analysis and Numerical Verification for the Generalized Gardner Equation in Fluid Mechanics

Yan Zhang,Huiqin Hao,Rui Guo

图22 正向与反向稀疏波, 参数如下: $ k_1 =6 $, $ k_2 =-1 $, $ d =1 $, $ -\frac{k_1}{2k_2}=3 $, $ u_{1}^{-} =-2 $, $ u_{1}^{+} =2 $, $ u_{2}^{-} =8 $, $ u_{2}^{+} =4 $.