Long-time asymptotics for the Hirota equation on the half-line

Boling Guo,Nan Liu,Yufeng Wang

doi:10.1016/j.na.2018.04.004

Long-time asymptotics for the Hirota equation on the half-line

Boling Guo, Nan Liu + Show 1 more

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https://doi.org/10.1016/j.na.2018.04.004

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Journal: Nonlinear Analysis	Publication Date: May 8, 2018
Citations: 23

Affiliation: Institute of Applied Physics and Computational Mathematics, China Academy of Engineering Physics, Minzu University of China

#Hirota Equation #Quarter Plane + Show 8 more

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Abstract

We consider the Hirota equation on the quarter plane with the initial and boundary values belonging to the Schwartz space. The goal of this paper is to study the long-time behavior of the solution of this initial–boundary value problem based on the asymptotic analysis of an associated matrix Riemann–Hilbert problem.

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