The unified method for the three-wave equation on the half-line
Abstract
We present a Riemann-Hilbert problem formalism for the initial-boundary value problem for the three-wave equation: \[pij,t-bi-bjai-ajpij,x+Σk(bk-bjak-aj-bi-bkai-ak)pikpkj=0, i,j,k=1,2,3.\] on the half-line.
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