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Asymptotic Behavior of Periodic Wave Solution to the Hirota–Satsuma Equation |
| WU Yong-Qi |
Mathematics and Computational Science School, Zhanjiang Normal University, Zhanjiang 524048
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WU Yong-Qi 2011 Chin. Phys. Lett. 28 060204 |
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Abstract The one- and two-periodic wave solutions for the Hirota–Satsuma (HS) equation are presented by using the Hirota derivative and Riemann theta function. The rigorous proofs on asymptotic behaviors of these two solutions are given such that soliton solution can be obtained from the periodic wave solution in an appropriate limiting procedure.
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02.30.Jr
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Received: 20 February 2011
Published: 29 May 2011
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| PACS: |
02.30.Jr
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(Partial differential equations)
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[1] Hirota R 2004 The Direct Method in Soliton Theory (Cambridge: Cambridge University Press)
[2] Ablowitz M J, Kaup D J, Newell A C and Segur H 1974 Stud. Appl. Math. 53 249
[3] Hirota R and Satsuma J 1976 J. Phys. Soc. Jpn. 40 611
[4] Zhang Y and Chen D Y 2004 Chaos, Solitons & Fractals 20 343
[5] Cai K J, Tian B, Zhang H and Meng X H 2009 Commun. Theor. Phys. 52 473
[6] Matsuno Y 1984 Bilinear Transformation Method (London: Academic Press Inc.)
[7] Farkas H M and Kra I 1992 Riemann Surfaces (New York: Springer-Verlag)
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