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Transverse stability of small-amplitude solitary waves in the three-dimensional Euler–Poisson system
The Euler–Poisson system admits small-amplitude solitary waves whose weakly transverse long-wave regime is described by the KP-II equation. Transverse-stability conjecture. Such so…
Conjectureopeneuler-poisson-system solitary-waves transverse-stabilityarXiv posted 2 days ago
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Transverse stability conjecture for Whitham solitary waves
Consider a solitary wave solution of the Whitham equation with surface tension parameter $\beta$ . Transverse stability conjecture. The Whitham solitary wave should be transversally…
Conjectureopensolitary-waves transverse-stability whitham-equationarXiv posted 2 days ago

Transverse stability of small-amplitude solitary waves in the three-dimensional Euler–Poisson system