diff options
Diffstat (limited to 'source/know/concept/korteweg-de-vries-equation/index.md')
| -rw-r--r-- | source/know/concept/korteweg-de-vries-equation/index.md | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/source/know/concept/korteweg-de-vries-equation/index.md b/source/know/concept/korteweg-de-vries-equation/index.md index e8035d1..13b1ee2 100644 --- a/source/know/concept/korteweg-de-vries-equation/index.md +++ b/source/know/concept/korteweg-de-vries-equation/index.md @@ -152,7 +152,7 @@ rather than transform the coordinate system, the velocity is incorporated into his ansatz for $$f$$; in other words, he assumed that the entire liquid is moving at $$q_0$$. For a wave going in the positive $$x$$-direction, -the linearized problem then predicts a profile $$\eta(x \!-\! (\sqrt{g h} \!+\! q_0))$$, +the linearized problem then predicts a profile $$\eta(x \!-\! (\sqrt{g h} \!+\! q_0) t)$$, so de Vries chose $$q_0 = -\sqrt{g h}$$ to make it stationary. Analogously, $$q_0 = \sqrt{g h}$$ for a backward-moving wave. With this in mind, the ansatz is: |