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A Riemann-Hilbert Approach to the Complex Sharma-Tasso-Olver Equation on the Half Line

Mathematical Physics 2017-12-06 v1 math.MP Pattern Formation and Solitons Exactly Solvable and Integrable Systems

Abstract

In this paper, we use the Fokas method to analyze the complex Sharma-Tasso-Olver(cSTO) equation on the half line. We show that it can be represented in terms of the solution of a matrix RHP formulated in the plane of the complex spectral parameter {\lambda}.

Keywords

Cite

@article{arxiv.1704.03456,
  title  = {A Riemann-Hilbert Approach to the Complex Sharma-Tasso-Olver Equation on the Half Line},
  author = {Ning Zhang and Tiecheng Xia and Beibei Hu},
  journal= {arXiv preprint arXiv:1704.03456},
  year   = {2017}
}

Comments

arXiv admin note: text overlap with arXiv:1109.4935, arXiv:1205.1559, arXiv:0808.1534 by other authors