2 papers
math.AP2020
Global dynamics of small solutions to the modified fractional Korteweg-de Vries and nonlinear Schrödinger equations
Jean-Claude Saut, Yuexun Wang
This paper concerns the modified fractional Korteweg-de Vries (modified fKdV) and nonlinear Schrödinger (modified fNLS) equations, with the dispersions |D|^α\partial_x and |D|^{α+1…
math.AP2020
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity
Jean-Claude Saut, Yuexun Wang
We prove global existence and modified scattering for the solutions of the Cauchy problem to the fractional Korteweg-de Vries equation with cubic nonlinearity for small, smooth and…