30
R. Grimshaw and C. Yuan
Fig. 1 A simulation of the
vKdV equation (13) when
𝛼(𝜏) varies from 1 to 1.5 as
specified by (23) for the
solitary wave initial
condition (24) with U 0 = 4
and K = 0.03, 𝜏 a = 100
(K𝜏 a = 3); the top panel is at
𝛼 = 1, the middle panel is at
𝛼 = 1.25 and the bottom
panel is at 𝛼 = 1.5