We consider the scattering problem for the fourth-order non-linear Schrödinger-type equation: i∂tu - 1/4∂ x4u = λ|u|p-1u, t, x ∈ R We show the existence of the modified wave operators for the above equation with cubic case by imposing the mean zero condition for the final data.
- Higher-order dispersive equation
- Modified wave operator
- Scattering problem
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