1 citations · 1 across the 3 of their papers we have counts for
6 papers
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…
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…
Classical Solutions of the Fornberg-Whitham Equation
Georgia Burkhalter, Ryan C. Thompson, Madison Waldrep
In this paper, we prove well-posedness in (a.k.a. classical solutions) of the Fornberg-Whitham equation. To achieve this objective, we study its weak formulation…
Continuity of the data-to-solution map for the FORQ equation in Besov Spaces
John Holmes, Feride Tiglay, Ryan Thompson
For Besov spaces $B^s_{p,r}(\rr)$ with , and , it is proved that the data-to-solution map for the FORQ equ…
Decay Properties of Solutions to a 4-parameter Family of Wave Equations
Ryan C. Thompson
In this paper, persistence properties of solutions are investigated for a 4-parameter family ( equation) of evolution equations having -degree non-linearities and con…
Well-posedness and Continuity Properties of the Fornberg-Whitham Equation in Besov Spaces
John Holmes, Ryan C. Thompson
In this paper, we prove well-posedness of the Fornberg-Whitham equation in Besov spaces in both the periodic and non-periodic cases. This will imply the existence and u…