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References (6)
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Xingbiao Hu, Yong Li (1988)
Nonlinear Superposition Formulae of a Fifth Order KdV Equation and Its Modified EquationActa Mathematicae Applicatae Sinica, 4
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E. Date, M. Jimbo, M. Kashiwara, T. Miwa (1983)
Non-linear Integrable Systems-Classical Theory and Quantum Theory -
A. Nakamura (1981)
Decay Mode Solution of the Two-dimensional KdV Equation and the Generalized Backlund TransformationJ. Math. Phys., 22
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M. Jimbo, T. Miwa (1983)
Solitons and Infinite Dimensional Lie AlgebrasPubl. RIMS, Kyoto Univ., 19
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Yong Li, Xingbiao Hu (1986)
Note on the Backlund Transformations of Model Equation for Shallow Water WavesScience Exploration, 6
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Xingbiao Hu, Yong Li (1991)
The Backlund Transformation and Nonlinear Superposition Formula of DJKM EquationActa Mathematica Scientia, 11
- Publisher
- Springer Journals
- Copyright
- Copyright © 1993 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/BF02009628
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, a Boussinesq hierarchy in the bilinear form is proposed. A Backlund transformation for this hierarchy is presented and the nonlinear superposition formula is proved rigorously.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 14, 2005