Bilinearization and special solutions to the discrete Schwarzian KdV equation
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- Hay, Mike
- Faculty of Mathematics, Kyushu University
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- Kajiwara, Kenji
- Faculty of Mathematics, Kyushu University
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- Masuda, Tetsu
- Department of Physics and Mathematics, Aoyama Gakuin University
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Abstract
Various solutions to the discrete Schwarzian KdV equation are discussed. We first derive the bilinear difference equations of Hirota type of the discrete Schwarzian KP equation, which is decomposed into three discrete two-dimensional Toda lattice equations. We then construct two kinds of solutions in terms of the Casorati determinant. We derive the discrete Schwarzian KdV equation on an inhomogeneous lattice and its solutions by a reduction process. We finally discuss the solutions in terms of the τ functions of some Painlevé systems.
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Journal
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- Journal of Math-for-Industry (JMI)
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Journal of Math-for-Industry (JMI) 3 (A), 53-62, 2011-04-04
Faculty of Mathematics, Kyushu University
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Details 詳細情報について
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- CRID
- 1050017057728291584
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- NII Article ID
- 40019161209
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- NII Book ID
- AA12444018
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- ISSN
- 18844774
- 18844782
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- HANDLE
- 2324/19580
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- NDL BIB ID
- 023438886
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- NDL
- CiNii Articles