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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 & Zhang Youjin. (1970). 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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