The Riemann-Hilbert Formalism For Certain Linear and Nonlinear Integrable PDEs

被引:0
作者
Dimitrios A Pinotsis
机构
[1] University of Reading,Department of Mathematics
来源
Journal of Nonlinear Mathematical Physics | 2007年 / 14卷
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摘要
We show that by deforming the Riemann-Hilbert (RH) formalism associated with certain linear PDEs and using the so-called dressing method, it is possible to derive in an algorithmic way nonlinear integrable versions of these equations.
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页码:474 / 493
页数:19
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  • [1] Zakharov VE(1979)Integration of nonlinear equations of mathematical physics by the method of the inverse scattering problem, Part II Funct. Anal. Appl. 13 166-undefined
  • [2] Shabat AB(undefined)undefined undefined undefined undefined-undefined