From 7cb1bd307e6d3f1279731bebadbc6f994ed1105a Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Fri, 3 Jul 2026 17:18:50 +0200
Subject: Improve knowledge base

---
 source/know/concept/korteweg-de-vries-equation/index.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

(limited to 'source/know/concept/korteweg-de-vries-equation')

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:
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