91 citations · 311 across the 34 of their papers we have counts for
5 papers · 2 filters
Instability of solitons in the 2d cubic Zakharov-Kuznetsov equation
Luiz Gustavo Farah, Justin Holmer, Svetlana Roudenko
We consider the two dimensional generalization of the Korteweg-de Vries equation, the generalized Zakharov-Kuznetsov (ZK) equation, $u_t + \partial_{x_1}(Δu + u^p) = 0, (x_1,x_2) \…
Instability of solitons - revisited, II: the supercritical Zakharov-Kuznetsov equation
Luiz Gustavo Farah, Justin Holmer, Svetlana Roudenko
We revisit the phenomenon of instability of solitons in the two dimensional generalization of the Korteweg-de Vries equation, the generalized Zakharov-Kuznetsov (ZK) equation, $u_t…
Instability of solitons - revisited, I: the critical generalized KdV equation
Luiz Gustavo Farah, Justin Holmer, Svetlana Roudenko
We revisit the phenomenon of instability of solitons in the generalized Korteweg-de Vries equation, . It is known that solitons are unstable for…
Large data scattering for the defocusing supercritical generalized KdV equation
Luiz G. Farah, Felipe Linares, Ademir Pastor +1
We consider the defocusing supercritical generalized Korteweg-de Vries (gKdV) equation , where is an even integer number. We…
Scattering for the radial focusing INLS equation in higher dimensions
Luiz Gustavo Farah, Carlos M. Guzmán
We consider the inhomogeneous nonlinear Schrödinger equation where (when , ) a…