2 papers
math.AP2026
Local well-posedness for a system of modified KdV equations in modulation spaces
Xavier Carvajal, Fidel Cuba, Mahendra Panthee
In this work, we consider the initial value problem (IVP) for a system of modified Korteweg-de Vries (mKdV) equations \begin{equation} \begin{cases} \partial_t v + \partial_x^3 v+…
math.AP2024
Global well-posedness for the higher order non-linear Schrödinger equation on modulations spaces
X. Carvajal, P. Gamboa, R. Santos
We consider the initial value problem (IVP) associated to a higher order nonlinear Schrödinger (h-NLS) equation $ \partial_{t}u+ia \partial^{2}_{x}u+ b\partial^{3}_{x}u+ic_1|u|^{2…