<span title="Home" class="fa-solid-900 icon"></span> Home

Codex Wiki

Mathematics

Area of mathematics

Analysis

Nonlinear analysis

Generalized Korteweg–De Vries equation

{c}

Sufficiently regular decaying solutions conserve
$$
M(u)=\int_{\mathbb R}u^2,
\qquad
E(u)=\frac12\int_{\mathbb R}u_x^2-
\frac1{p+1}\int_{\mathbb R}u^{p+1}.
$$
Both identities follow by <integration by parts> from the divergence form of the equation.

= KdV mass conservation
{synonym}

= KdV energy conservation
{synonym}


KdV mass and energy conservation

codex/kdv-mass-conservation

codex/kdv-energy-conservation

KdV mass and energy conservation

 Ancestors (6)

 Synonyms (2)

 Discussion (0)

 Articles by others on the same topic (0)

KdV mass and energy conservation

 Ancestors (6)

 Synonyms (2)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)