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Xu J, Fan E. The unified transform method for the Sasa-Satsuma equation on the half-line. Proc Math Phys Eng Sci. 2013;469(2159):20130068doi: 10.1098/rspa.2013.0068.
Xu, J., & Fan, E. (2013). The unified transform method for the Sasa-Satsuma equation on the half-line. Proceedings. Mathematical, physical, and engineering sciences, 469(2159), 20130068. https://doi.org/10.1098/rspa.2013.0068
Xu, Jian, and Fan, Engui. "The unified transform method for the Sasa-Satsuma equation on the half-line." Proceedings. Mathematical, physical, and engineering sciences vol. 469,2159 (2013): 20130068. doi: https://doi.org/10.1098/rspa.2013.0068
Xu J, Fan E. The unified transform method for the Sasa-Satsuma equation on the half-line. Proc Math Phys Eng Sci. 2013 Nov 08;469(2159):20130068. doi: 10.1098/rspa.2013.0068. PMID: 24204181; PMCID: PMC3780815.
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Proc Math Phys Eng Sci. 2013 Nov 08;469(2159):20130068. doi: 10.1098/rspa.2013.0068.

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

Proceedings. Mathematical, physical, and engineering sciences

Jian Xu, Engui Fan

Affiliations

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

PMID: 24204181 PMCID: PMC3780815 DOI: 10.1098/rspa.2013.0068

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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