A replacement rule gives a qualitative relation between envelope width L, amplitude A, and group velocity V for localized traveling solutions of nonlinear (1+1)D PDEs, illustrated on KdV, Camassa-Holm and BBM equations.
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The Replacement Rule for Nonlinear Shallow Water Waves
A replacement rule gives a qualitative relation between envelope width L, amplitude A, and group velocity V for localized traveling solutions of nonlinear (1+1)D PDEs, illustrated on KdV, Camassa-Holm and BBM equations.