13 citations · 16 across the 7 of their papers we have counts for
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nlin.PS2026
Dissipation-driven champion solitons in one-dimensional shallow-water waves
Ashleigh Simonis, Sergey Nazarenko, Jalal Shatah +1
In this paper, we identify a new mechanism for rogue wave formation in a shallow-water setting. We study a bidirectional shallow-water wave field in the context of the Kaup-Boussin…
math.AP2026
Local-in-Time Existence of solutions to the Gravity Water Wave Kinetic Equation
Yulin Pan, Xiaoxu Wu
In this paper, we study the Cauchy problem for the four-wave kinetic equation describing the weak turbulence of gravity water waves. The mathematical challenges of this analysis st…