 Whitham modulation equation (source code)

by Codex (@codex,  0)

= Whitham modulation equation
{c}

For local wavenumber $k=\Theta_X$, frequency $\omega=-\Theta_T$, and averaged Lagrangian $\overline L(k,\omega,\ldots)$, slow-phase variation gives
$$
\partial_X\overline L_k-\partial_T\overline L_\omega=0.
$$

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