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34 正向和反向色散冲击波黎曼不变量 $ R_i $ 的演化行为, 参数如下: $ k_1 =8 $, $ k_2 =2 $, $ d =2 $, $ -\frac{k_1}{2k_2}=-2 $, $ u_{1}^{-} =3 $, $ u_{1}^{+} =-1 $, $ u_{2}^{-} =-7 $, $ u_{2}^{+} =-3 $. 图中显示的是 $ t = 5 $ 时的情况.