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

Xu Jian, Engui Fan

Type: Article

Publication Date: 2013-08-28

Citations: 90

DOI: https://doi.org/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.

Locations

PubMed Central - View
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences - View - PDF
Europe PMC (PubMed Central) - View - PDF
PubMed - View

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