Liouville Correspondence Between the Modified KdV Hierarchy and Its Dual Integrable Hierarchy-Reference-Cited by-同舟云学术

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Liouville Correspondence Between the Modified KdV Hierarchy and Its Dual Integrable Hierarchy

Published:2015-08-26 Issue:1 Volume:26 Page:141-170
ISSN:0938-8974
Container-title:Journal of Nonlinear Science
language:en
Short-container-title:J Nonlinear Sci

Author:

Kang Jing,Liu Xiaochuan,Olver Peter J.,Qu Changzheng

Funder

NSF-China grant

Foundation of Shannxi Education Committee

Ph.D. Programs Foundation of Ministry of Education of China

Shannxi Province grant

Directorate for Mathematical and Physical Sciences

NSF of Ningbo grant

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modeling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s00332-015-9272-7.pdf

Reference52 articles.

1. Beals, R., Sattinger, D.H., Szmigielski, J.: Acoustic scattering and the extended Korteweg de Vries hierarchy. Adv. Math. 140, 190–206 (1998)

2. Beals, R., Sattinger, D.H., Szmigielski, J.: Multipeakons and the classical moment problem. Adv. Math. 154, 229–257 (2000)

3. Bies, P.M., Gorka, P., Reyes, E.: The dual modified Korteweg-de Vries–Fokas–Qiao equation: geometry and local analysis. J. Math. Phys. 53, 073710 (2012)

4. Camassa, R., Holm, D.D.: An integrable shallow water equation with peaked solitons. Phys. Rev. Lett. 71, 1661–1664 (1993)

5. Camassa, R., Holm, D.D., Hyman, J.: An new integrable shallow water equation. Adv. Appl. Mech. 31, 1–33 (1994)

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