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Periodic Wave Solution to the (3+1)-Dimensional Boussinesq Equation |
WU Yong-Qi |
Department of Mathematics, Zhanjiang Normal University, Zhanjiang 524048 |
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Cite this article: |
WU Yong-Qi 2008 Chin. Phys. Lett. 25 2739-2742 |
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Abstract One- and two-periodic wave solutions for (3+1)-dimensional Boussinesq equation are presented by means of Hirota's bilinear method and the Riemann theta function. The soliton solution can be obtained from the periodic wave solution in an appropriate limiting procedure.
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Keywords:
02.30.Jr
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Received: 14 January 2008
Published: 25 July 2008
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PACS: |
02.30.Jr
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(Partial differential equations)
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[1] Ablowitz M J and Segur H 1981 Solitons and theInverse Scattering Transform (Philadelphia, PA: SIAM) [2]Newell A C 1985 Solitons in Mathematics and Physics(Philadelphia, PA: SIAM) [3]Novikov S, Manakov S V, Pitaevskii L P and Zakharov V E1984 Theory of Solitons, The Inverse Scattering Methods (NewYork: Consultants Bureau) [4]Cherednik I 1996 Basic Methods of Soliton Theory(Singapore: World Scientific) [5]Belokolos E D, Bobenko A I, Enolskii V Z, Its A R andMatveev V B 1994 Algebro-Geometric Approach to NonlinearIntegrable Equations Berlin: Springer [6]Cao C W, Wu Y T and Geng X G 1999 J. Math. Phys. 40 3948 [7]Cao C W, Geng X G and Wu Y T 1999 J. Phys. A 328059 [8]Geng X G, Wu Y T and Cao C W 1999 J. Phys. A 323733 [9]Wang M L 1995 Phys. Lett. A 199 169 [10]Lei Y 1999 Phys. Lett. A 260 55 [11]Fan E G and Zhang H Q 1998 Acta Phys. Sin. 47353 (in Chinese) [12]Fan E G 2000 Acta Phys. Sin. 49 1409 (inChinese) [13]Parkes E J and Duffy B R 1997 Phys. Lett. A 229 217 [14]Fan E G 2000 Phys. Lett. A 277 212 [15]Zhang G X, Li Z B and Duan Y S 2000 Sci. Chin. A 30 1103 (in Chinese) [16]Shi Y R, L\"{u K P, Duan W S and Zhao J B 2001 ActaPhys. Sin. 50 2074 (in Chinese) [17]Guo G P and Zhang J F 2002 Acta Phys. Sin. 511159 (in Chinese) [18]Liu S K, Fu Z T, Liu S D and Zhao Q 2001 Phys. Lett. A 289 69 [19]Fu Z T, Liu S K, Liu S D and Zhao Q 2001 Phys. Lett. A 290 72 [20]Zeng X and Zhang H Q 2005 Acta Phys. Sin. 541476 (in Chinese) [21] Lin M M, Duan W S and L\"{u K P 2007 J. NorthwestNormal University(Natural Science) 43(1) 39 (in Chinese) [22]Li M J and Jiu Q S 2007 Acta Math. Appl. Sin. 30 936 (in Chinese) [23]Senthilvelan M 2001 Comput. Math. Appl. 123381 [24]Allen M A and Rowlands G 1997 Phys. Lett. A 235 145 [25]Chen Y, Yan Z Y and Zhang H Q 2003 Phys. Lett. A 307 107 [26]Matsuno Y 1984 Bilinear Transformation Method (NewYork: Academic) [27] Farkas H M and Kra I 1992 Riemann Surfaces (Berlin:Springer) |
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