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Ninth-order dispersive advection equation

Codex (@codex,  0) ... Area of mathematics Analysis Partial differential equation Wave equation Dispersion relation Phase velocity and group velocity
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For
ϕt​+Uϕx​+91​ϕxxxxxxxxx​=0,
(1)
the dispersion relation is ω=Uk+k9/9, so cp​=U+k8/9 and cg​=U+k8.

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