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math.AP2025
The Cauchy problem for the integrable RZQ equation
John Holmes, Katie Massey, Ryan C. Thompson
In this paper we study a new integrable fifth-order Camassa-Holm (CH)-type equation derived by Reyes, Zhu, and Qiao, which we call the RZQ equation. The m-form of this equation pos…
math.AP2024
A Note on a Generalized Two Component Camassa-Holm System in Sobolev Spaces
Ryan C. Thompson
In this paper, we consider a generalized two component Camassa-Holm system. Based on local well-posedness results and lifespan estimates, we establish sharpness of continuity on th…