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Preprint Oct 2026

Modulation theory of Y- and X-wave Kadomtsev--Petviashvili solitons

The evolution of long wavelength perturbations of traveling wave 2-soliton solutions of the Kadomtsev-Petviashvili II (KP) equation are investigated using modulation theory. An initial-boundary value problem for a system of hyperbolic conservation laws is formulated for amplitude and slope perturbations to soliton legs...

Jerry T. Wang, M. Hoefer · 0 citations

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