Global well-posedness for the generalized derivative nonlinear Schrödinger equation

Ben Pineau, Mitchell A. Taylor

We study the well-posedness of the generalized derivative nonlinear Schrödinger equation (gDNLS) $$i{u}_t+u_{xx}=i|u{|}^{2\ddot{I}ƒ}{u}_x,$$ for small powers $\ddot{I}ƒ$. We analyze this equation at…