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Two-peak soliton in the CKP hierarchy
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He, Jingsong, Cheng, Yi and Roemer, Rudolf A.. (2006) Two-peak soliton in the CKP hierarchy. Chaos, Solitons & Fractals, Vol.31 (No.2). pp. 343-346. ISSN 0960-0779
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Official URL: http://dx.doi.org/10.1016/j.chaos.2006.03.064
Abstract
We present a systematic approach to the construction of soliton solutions for the 5-reduction of the C-type sub-hierarchy for the Kadomtsev–Petviashvili (CKP) hierarchies starting from the general τ-function τ(n+k) of the Kadomtsev–Petviashvili (KP) hierarchy. We obtain the one-soliton and two-soliton solutions for the bi-directional Kaup–Kupershmidt (bKK) equation, i.e. the 5-reduction of CKP hierarchy.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Physics |
| Library of Congress Subject Headings (LCSH): | Solitons |
| Journal or Publication Title: | Chaos, Solitons & Fractals |
| Publisher: | Pergamon |
| ISSN: | 0960-0779 |
| Date: | 8 May 2006 |
| Volume: | Vol.31 |
| Number: | No.2 |
| Page Range: | pp. 343-346 |
| Identification Number: | 10.1016/j.chaos.2006.03.064 |
| Status: | Peer Reviewed |
| Access rights to Published version: | Open Access |
| Funder: | China, Guo jia zi ran ke xue ji jin wei yuan hui (China) [National Natural Science Foundation of China] (NSFC), University of Warwick |
| Grant number: | 10301030 (NSFC) |
| References: | [1] J. M. Dye, A.Parker, On bidirectional ¯fth-order nonlinear evolution equations, Lax pairs, and directionally solitary waves. J. Math. Phys. 42, 2567-2589(2001) [2] J. M. Dye, A. Parker, A bidirectional Kaup-Kupershmidt equation and directionally dependent solitons. J. Math. Phys. 43, 4921-4949(2002) [3] E. Date, M. Kashiwara, M. Jimbo, T. Miwa, in Nonlinear Integrable Systems- Classical and Quantum Theory, edited by M. Jimbo and T. Miwa (World Scienti¯c, Singapore, 1983) p. 39-119. [4] L. A. Dickey, Soliton Equations and Hamiltonian Systems (World Scinti¯c, Singapore, 1991). [5] V. E. Zakharov, A. V. Mikhailov, Relativistically invariant two-dimensional models of ¯eld theory which are integrable by means of the inverse sacttering problem method. Sov. Phys. JETP47,1017-1027(1978). [6] V. B. Matveev, M. A. Salle, Darboux Transformations and Solitons (Springer{Verlag, Berlin, 1991). [7] L. L. Chau, J. C. Shaw, H. C. Yen, Solving the KP hierarchy by gauge transformations. Commun. Math. Phys.149, 263-278(1992). [8] J. S. He, Y. S. Li, Y. Cheng, The determinant representation of the gauge transformation operators. Chin. Ann. of Math.23B, 475-486(2002). [9] J. J. Nimmo, "Darboux transformation from reduction of the KP hierarchy ", in Nonlinear Evolution equation and Dynamical Systems , edited by V. G. Makhankov et al(Singapore: World Scienti¯c, 1995)P168-177. [10] A. Mei, Darboux Transformations for Antisymmetric Opertor and BKP Integrable Hierarchy(in Chinese). Master Thesis, University of Science and Tehnology of China(1999). [11] C. Verhoeven, M. Musette, Soliton solutions of two bidirectional sixth-order partial di®erential equations belonging to the KP hierarchy. J. Phys. A 36, L133-L143(2003). |
| URI: | http://wrap.warwick.ac.uk/id/eprint/352 |
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