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

Published 18 Dec 2017 in math.AP | (1712.07002v2)

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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