Inverse scattering transform for the Degasperis–Procesi equation
Inverse scattering transform for the Degasperis–Procesi equation
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DOI：
10.1088/0951-7715/23/10/012
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发表时间：
2010-08
期刊：
影响因子：
1.7
通讯作者：
A. Constantin;R. Ivanov;J. Lenells
中科院分区：
文献类型：
--
作者：
A. Constantin;R. Ivanov;J. Lenells
本文发展了求解Degasperis-Procesi方程的逆散射变换（IST）方法。谱问题是一个具有常边界条件和有限约化群的Zakharov-Shabat问题。IST的基本方面，如基本解析解的建设，制定的Riemann-Hilbert问题，和实施的敷料方法，提出。
We develop the inverse scattering transform (IST) method for the Degasperis–Procesi equation. The spectral problem is an Zakharov–Shabat problem with constant boundary conditions and finite reduction group. The basic aspects of the IST, such as the construction of fundamental analytic solutions, the formulation of a Riemann–Hilbert problem, and the implementation of the dressing method, are presented.