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Proc Math Phys Eng Sci. 2013 Nov 8;469(2159):20130068.

The unified transform method for the Sasa-Satsuma equation on the half-line.

Author information

1
School of Mathematical Science and Key Laboratory of Mathematics for Nonlinear Science , Fudan University , Shanghai 200433, People's Republic of China.

Abstract

We implement the unified transform method to the initial-boundary value (IBV) problem of the Sasa-Satsuma equation on the half line. In addition to presenting the basic Riemann-Hilbert formalism, which linearizes this IBV problem, we also analyse the associated general Dirichlet to Neumann map using the so-called global relation.

KEYWORDS:

Riemann–Hilbert problem; Sasa–Satsuma equation; initial-boundary value problem

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