Long-time behavior of solutions to the fifth-order modified KdV-type equation

Abstract

We consider the long-time behavior of solutions to the fifth-order modified KdV-type equation. Using the method of testing by wave packets, we prove the small-data global existence and modified scattering. We derive the leading asymptotic in both the self-similar and oscillatory regions.

arXiv comment36 pages

Cited by in corpus (2)

• Long-time Asymptotic Behavior of the Fifth-order Modified KdV Equation in Low Regularity Spaces
• Global dynamics of the generalized fifth-order KdV equation with critical nonlinearity