Riemann-Hilbert Problems, families of commuting operators and soliton equations

Physics and Mathematics of Nonlinear Phenomena 2013

Gerdjikov, V.S.^1 ; Yanovski, A.B.^2

Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Tzarigradsko chaussee 72, 1784 Sofia, Bulgaria^1

Department of Mathematics and Applied Mathematics, University of Cape Town, 7700 Rondebosch, Cape Town, South Africa^2

关键词: Commuting operators;    Nonlinear evolution equation;    Riemann Hilbert problems;    Soliton equation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/482/1/012017/pdf
DOI  :  10.1088/1742-6596/482/1/012017

来源: IOP

【 摘 要 】

We use Riemann-Hilbert Problems with canonical normalization to develop technique for constructing families of commuting operators. As a result we are able to derive new hierarchies of integrable nonlinear evolution equations.