C. H. XIANG

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Figure 1. Jacobi elliptic func tion solutions Equation (7) is shown for U with x (–2, 2), y (–2, 2), m = 0.2, from left to right t

= –0.2, t = 0, t = 0.2, respectively.

Figure 2. Hyperbolic function solutions Equation (13) is shown for U with x (–3, 3), y (–3, 3), m = 1, from left to right t =

–0.2, t = 0, t = 0.2, respectively.

[4] Z. N. Zhu, “Soliton-Like Solutions of Generalized KdV

Equation with External Force Term,” Acta Physica Sinca,

Vol. 41, 1992, pp. 1561-1566.

of nonlinear equations. Of course, this method can be

also applied to other nonlinear wave equations. Seeking

new more general traveling wave solutions of nonlinear

equation is still an interesting subject and worthy of fur-

ther study.

[5] C. Xiang, “Analytical Solutions of KdV Equation with

Relaxation Effect of Inhomogeneous Medium,” Applied

Mathematics and Computation, Vol. 216, No. 8, 2010, pp.

2235-2239. doi:10.1016/j.amc.2010.03.077

5. Acknowledgements [6] T. Brugarino and P. Pantano, “The Integration of Burgers

and Korteweg-de Vries Equations with Nonuniformities,”

Physics Letters A, Vol. 80, No. 4, 1980, pp. 223-224.

doi:10.1016/0375-9601(80)90005-5

The support from Science Foundation of Chongqing Uni-

versity of Ar ts and Sciences (Grant No : Z2010ST1 6) and

transformation of education of Chongqing University of

Arts and Sciences (Grant No : 100239). [7] C. Tian and L. G. Redekopp, “Symmetries and a Hierar-

chy of the General KdV Equation,” Journal of Physics A:

Mathematical and General, Vol. 20, No. 2, 1987, pp.

359-366. doi:10.1088/0305-4470/20/2/021

6. References

[8] J. F. Zhang and F. Y. Chen, “Truncated Expansion Me-

thod and New Exact Soliton-Like Solution of the General

Variable Coeffcient KdV Equation,” Acta Physica Sinca,

Vol. 50, 2001, pp. 1648-1650.

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doi:10.1016/j.physleta.2006.07.031 [9] D. S. Li and H. Q. Zhang, “Improved Tanh-Function Me-

Thod and the New Exact Solutions for the General Vari-

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Acta Physica Sinca, Vol. 52, 2003, pp. 1569-1573.

[2] J. L. Zhang and Y. M. Wang, “Exact Solutions to Two

Nonlinear Equations,” Acta Physica Sinca, Vol. 52, 2003,

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[10] Z. Y. Yan and H. Q. Zhang, “Exact Soliton Solutions of

the Variable Coefficient KdV-MKdV Equation with

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[3] W. L. Chan and X. Zhang, “Symmetries, Conservation

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