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20032024
most citedOn The Local Well-Posedness for Some Systems of Coupled KdV Equations

20 citations · 37 across the 16 of their papers we have counts for

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Showing 2020Show all

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math.AP2020★ 7 cited

On propagation of regularities and evolution of radius of analyticity in the solution of the fifth order KdV-BBM model

Xavier Carvajal, Mahendra Panthee

We consider the initial value problem (IVP) associated to a fifth order KdV-BBM type model that describes the propagation of unidirectional water waves. We prove that the regularit…

math.AP2020

Sharp well-posedness for a coupled system of mKdV type equations

Xavier Carvajal, Liliana Esquivel, Raphael Santos

We consider the initial value problem associated to a system consisting modified Korteweg-de Vries type equations $$ \partial_tv + \partial_x^3v + \partial_x(vw^2) =0,\ \ v(x,0)=ϕ(…