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Prog. Theor. Phys. Vol. 109 No. 5 (2003) pp. 709-716
New Double Periodic Solutions for a Kind of Nonlinear Wave Equation
Huaitang Chen1,2,* and
Hongqing Zhang1
1Dalian University of Technology, Dalian 116024, P. R. China
2Linyi Teachers University, Linyi 276005, P. R. China
(Received September 9, 2002)
Abstract:
A new generalized ansatz and Jacobi elliptic function
expansion method are used to construct new double
periodic solutions to nonlinear wave equations. The main idea
of our method is to take full advantage of the elliptic equations
satisfied by Jacobi elliptic functions and to use their solutions
to replace Jacobi elliptic functions in the Jacobi elliptic function
method. Some illustrative equations are investigated by this means.
URL :
http://ptp.ipap.jp/link?PTP/109/709/
DOI : 10.1143/PTP.109.709
References:
-
B. R. Duffy and E. J. Parkes, Phys. Lett. A 214 (1996), 271[CrossRef].
-
E. J. Parkes and B. R. Duffy, Phys. Lett. A 229 (1997), 217[CrossRef].
- Z. B. Li, “Exact solitary wave solutions of nonlinear evolution equations", Mathematics Mechanization and Application, ed. X. S. Gao and D. M. Wang (Academic Press, 2000).
-
Z. B. Li and M. L. Wang, J. of Phys. A 26 (1993), 6027[CrossRef].
-
E. J. Parkes, J. of Phys. A 27 (1994), L497[CrossRef].
-
Z. T. Fu, S. K. Liu, S. D. Liu and Q. Zhao, Phys. Lett. A 290 (2001), 72[CrossRef].
-
E. G. Fan, Phys. Lett. A 277 (2000), 212[CrossRef].
- Y. D. Shang, Acta Math. Appl. Sinica 23 (2000), 21.
-
C. S. Gardner, J. M. Greene, M. D. Kruskal and R. M. Miura, Phys. Rev. Lett. 19 (1967), 1095[APS].
-
X. B. Hu and W. X. Ma, Phys. Lett. A 293 (2002), 161[CrossRef].
-
J. Weis, M. Tabor and G. Garnevale, J. Math. Phys. 24 (1983), 522[CrossRef].
-
E. G. Fan and H. Q. Zhang, Phys. Lett. A 246 (1998), 403[CrossRef].
-
L. Yang, Z. Zhu and Y. Wang, Phys. Lett. A 260 (1999), 55[CrossRef].
-
E. G. Fan, Phys. Lett. A 265 (2000), 353[CrossRef].
- T. Blickle, B. G. Lakatos, C. Mihálykó and Z. Ulbert, Powder Technology 97 (1998), 100.
-
C. Yan, Phys. Lett. A 224 (1996), 77[CrossRef].
-
L. Yang, J. B. Liu and K. Q. Yang, Phys. Lett. A 278 (2001), 267[CrossRef].
-
F. D. Xie, Z. Y. Yan and H. Q. Zhang, Phys. Lett. A 285 (2001), 76[CrossRef].
-
E. G. Fan and L. Chao, Phys. Lett. A 285 (2001), 373[CrossRef].
-
E. G. Fan, Phys. Lett. A 282 (2001), 18[CrossRef].
-
Z. Y. Yan and H. Q. Zhang, Phys. Lett. A 285 (2001), 355[CrossRef].
- S. K. Liu, Z. T. Fu, S. D. Liu and Q. Zhao, Acta Phys. Sinica 50 (2001), 2068.
-
M. L. Wang, Phys. Lett. A 199 (1995), 169[CrossRef].
-
M. L. Wang, Y. B. Zhou and Z. B. Li, Phys. Lett. A 216 (1996), 67[CrossRef].
-
E. G. Fan and Benny Y. C. Hon, Phys. Lett. A 292 (2002), 335[CrossRef].
- S. K. Liu, Z. T. Fu, S. D. Liu and Q. Zhao, Acta Phys. Sinica 51 (2002), 10.
- S. D. Liu, Z. T. Fu, S. K. Liu and Q. Zhao, Acta Phys. Sinica 51 (2002), 718.
-
E. J. Parkes, B. R. Duffy and P. C. Abott, Phys. Lett. A 295 (2002), 280[CrossRef].
-
S. K. Liu, Z. T. Fu, S. D. Liu and Q. Zhao, Phys. Lett. A 289 (2001), 69[CrossRef].
- S. D. Liu and S. K. Liu, Math. in Prac. and Theor. 28 (1998), 289.