Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in 2+1 dimensions

被引：15

作者：

Estevez, P. G. ^{[1
]}

Sardon, C. ^{[1
]}

机构：

[1] Univ Salamanca, Dept Fis Fundamental, E-37008 Salamanca, Spain

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2013年 / 20卷 / 04期

关键词：

reciprocal transformations; integrable hierarchies; spectral problems; PARTIAL-DIFFERENTIAL-EQUATIONS; BACKLUND-TRANSFORMATIONS; PAINLEVE PROPERTY; SPECTRAL PROBLEM; LINK;

D O I：

10.1080/14029251.2013.868268

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present two hierarchies of partial differential equations in 2 1 dimensions. Since there exist reciprocal transformations that connect these hierarchies to the Calogero-Bogoyavlenski-Schiff equation and its modified version, we can prove that one of the hierarchies can be considered as a modified version of the other. The connection between them can be achieved by means of a combination of reciprocal and Miura transformations.

引用

页码：552 / 564

页数：13

共 45 条

[1] Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in 2+1 dimensions
P. G. Estévez
C. Sardón
[J]. Journal of Nonlinear Mathematical Physics, 2013, 20 : 552 - 564
[2] NON-ISOSPECTRAL 1+1 HIERARCHIES ARISING FROM A CAMASSA HOLM HIERARCHY IN 2+1 DIMENSIONS
Estevez, P. G.
Lejarreta, J. D.
Sardon, C.
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2011, 18 (01) : 9 - 28
[3] Non-Isospectral 1 + 1 Hierarchies Arising from a Camassa Holm Hierarchy in 2 + 1 Dimensions
P. G. Estévez
J. D. Lejarreta
C. Sardón
[J]. Journal of Nonlinear Mathematical Physics, 2011, 18 : 9 - 28
[4] Non-isospectral lattice hierarchies in 2+1 dimensions and generalized discrete Painleve hierarchies
Gordoa, PR
Pickering, A
Zhu, ZN
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P. G. Estevez
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[8] The periodic Cauchy problem for a two-component non-isospectral cubic Camassa-Holm system
Zhang, Lei
Qiao, Zhijun
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (03) : 1270 - 1305
[9] Integrable generalization of the modified Camassa-Holm equation in 2+1 dimensions
Li, Nianhua
Li, Hongmin
[J]. WAVE MOTION, 2024, 124
[10] Non-isospectral lattice hierarchies in 2 + 1 dimensions and generalized discrete Painlevé hierarchies
P R Gordoa
A Pickering
Z N Zhu
[J]. Journal of Nonlinear Mathematical Physics, 2005, 12 (Suppl 2) : 180 - 196

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