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Volume 5, Issue 4
Backlund Transformations for the Isospectral and Non-isospectral Matrix Kdv Hierarchies

Song Jingping, Tian Chou & Zhang Youjin

J. Part. Diff. Eq.,5(1992),pp.59-65

Published online: 1992-05

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  • Abstract
By transforming the usual Lax pairs of isospectral and non-isospectral matrix Kdv hierarchies into Lax pairs Riccati form, a unified explicit from of Backlund transformations and superposition formulas for these two kinds of hierarchies of equations can be ohtaincd.
  • Keywords

Backlund transformation noncommutativity of matrix Lax pairs

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COPYRIGHT: © Global Science Press

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@Article{JPDE-5-59, author = {Song Jingping, Tian Chou and Zhang Youjin}, title = {Backlund Transformations for the Isospectral and Non-isospectral Matrix Kdv Hierarchies}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {4}, pages = {59--65}, abstract = { By transforming the usual Lax pairs of isospectral and non-isospectral matrix Kdv hierarchies into Lax pairs Riccati form, a unified explicit from of Backlund transformations and superposition formulas for these two kinds of hierarchies of equations can be ohtaincd.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5754.html} }
TY - JOUR T1 - Backlund Transformations for the Isospectral and Non-isospectral Matrix Kdv Hierarchies AU - Song Jingping, Tian Chou & Zhang Youjin JO - Journal of Partial Differential Equations VL - 4 SP - 59 EP - 65 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5754.html KW - Backlund transformation KW - noncommutativity of matrix KW - Lax pairs AB - By transforming the usual Lax pairs of isospectral and non-isospectral matrix Kdv hierarchies into Lax pairs Riccati form, a unified explicit from of Backlund transformations and superposition formulas for these two kinds of hierarchies of equations can be ohtaincd.
Song Jingping, Tian Chou and Zhang Youjin. (1992). Backlund Transformations for the Isospectral and Non-isospectral Matrix Kdv Hierarchies. Journal of Partial Differential Equations. 5 (4). 59-65. doi:
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