Painlevé analysis and the integrability properties of coupled integrable dispersionless equations

Painlevé analysis and the integrability properties of coupled integrable dispersionless equations
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DOI:
10.1016/0960-0779(95)00108-5
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发表时间:
1996-08
影响因子:
7.8
通讯作者:
T. Alagesan;K. Porsezian
T. Alagesan;K. Porsezian
中科院分区:
数学1区
文献类型:
--
作者:
T. Alagesan;K. Porsezian

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考虑一类耦合的可积无色散(CID)方程组,通过Painlevé(P)分析讨论其可积性.此外,我们使用双线性变换,其中非线性耦合无色散方程修改成双线性形式,通过因变量变换。
Considering a system of coupled integrable dispersionless (CID) equations, we discuss the integrability properties through Painlevé (P) analysis. Further, we use the bilinear transformations in which nonlinear coupled dispersionless equations are modified into bilinear forms through dependent variable transformations.