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Abstract
In this paper, by using the extended tanh-function method,the general variable coefficient KdV and MKdV equations are reduced to first-order variable coefficient nonlinear ordinary differential equations,and then the new exact solutions for these equations,which include exact soliton-like,rational formal and triangle function solutions,are obtained through solving these ordinary differential equations-

Keywords:
improved tanh-function method/

soliton-like solutions/

rational form al solutions/

triangle function solutions
Authors and contacts
Li De-Sheng²,

Zhang Hong-Qing¹
References

Cited By

[1]	Gao Mei-Ru, Chen Huai-Tang.Hybrid solutions of three functions to the (2+1)-dimensional sine-Gordon equation. Acta Physica Sinica, 2012, 61(22): 220509.doi:10.7498/aps.61.220509
[2]	Taogetusang, Bai Yu-Mei.A method of constructing infinite sequence soliton-like solutions of nonlinear evolution equations. Acta Physica Sinica, 2012, 61(13): 130202.doi:10.7498/aps.61.130202
[3]	Chen Guang.Finite precision function theory and photon solution of Einstein-Maxwell equations. Acta Physica Sinica, 2009, 58(5): 2873-2877.doi:10.7498/aps.58.2873
[4]	Shi Lan-Fang, Mo Jia-Qi.Soliton-like homotopic approximate analytic solution for a class of disturbed nonlinear evolution equation. Acta Physica Sinica, 2009, 58(12): 8123-8126.doi:10.7498/aps.58.8123
[5]	Mo Jia-Qi, Chen Li-Hua.Approximate solution for a class of solitons of the Landau-Ginzburg-Higgs perturbed equation. Acta Physica Sinica, 2008, 57(8): 4646-4648.doi:10.7498/aps.57.4646
[6]	Wu Hai-Yan, Zhang Liang, Tan Yan-Ke, Zhou Xiao-Tao.Some new exact Jacobian elliptic function solutions of three kinds of nonlinear evolution equations. Acta Physica Sinica, 2008, 57(6): 3312-3318.doi:10.7498/aps.57.3312
[7]	He Feng, Guo Qi-Bo, Liu Liao.Obtaining general soliton solutions of nonlinear Boussinesq equations by trigonometric function method. Acta Physica Sinica, 2007, 56(8): 4326-4330.doi:10.7498/aps.56.4326
[8]	Wei Cai-Min, Xia Zun-Quan, Tian Nai-Shuo.New exact soliton-like solution for a generalized stochastic KdV equation. Acta Physica Sinica, 2005, 54(6): 2463-2467.doi:10.7498/aps.54.2463
[9]	Li De-Sheng, Zhang Hong-Qing.A new method to construct Weierstrass elliptic function solutions for soliton equations. Acta Physica Sinica, 2005, 54(12): 5540-5543.doi:10.7498/aps.54.5540
[10]	Zhu Jia-Min, Ma Zheng-Yi, Zheng Chun-Long.Improved tanh-function method and the exact solutions for the hybrid-lattice and Ablowitz-Ladik-lattice. Acta Physica Sinica, 2005, 54(2): 483-489.doi:10.7498/aps.54.483
[11]	Zeng Xin, Zhang Hong-Qing.Backlund transformation and exact solutions for (2+1)-dimensional Boussinesq eq uation. Acta Physica Sinica, 2005, 54(4): 1476-1480.doi:10.7498/aps.54.1476
[12]	Liu Cheng-Shi.Using trial equation method to solve the exact solutions for two kinds of KdV equations with variable coefficients. Acta Physica Sinica, 2005, 54(10): 4506-4510.doi:10.7498/aps.54.4506
[13]	Zeng Xin, Zhang Hong-Qing.New soliton-like solutions to the (2+1)-dimensional dispersive long wave equations. Acta Physica Sinica, 2005, 54(2): 504-510.doi:10.7498/aps.54.504
[14]	Liu Shi-Kuo, Fu Zhun-Tao, Liu Shi-Da, Zhao Qiang.. Acta Physica Sinica, 2002, 51(9): 1923-1926.doi:10.7498/aps.51.1923
[15]	ZHANG JIE-FANG, CHEN FANG-YUE.TRUNCATED EXPANSION METHOD AND NEW EXACT SOLITON-LIKE SOLUTION OF THE GENERAL VARIABLE COEFFICIENT KdV EQUATION. Acta Physica Sinica, 2001, 50(9): 1648-1650.doi:10.7498/aps.50.1648
[16]	LIU CHUN-PING.THE SOLITON SOLUTIONS FOR A CLASS OF NONLINEAR COUPLED EQUATIONS. Acta Physica Sinica, 2000, 49(10): 1904-1908.doi:10.7498/aps.49.1904
[17]	ZHOU SHI-PING, XU KE-XI, NIU JIN-HAI, QU HAI.SOLUTIONS FOR THE WAVE FUNCTIONS OF MIXED PAIRING SYMMETRY SUPERCONDUCTORS. Acta Physica Sinica, 1999, 48(2): 342-351.doi:10.7498/aps.48.342
[18]	YAN ZHEN-YA, ZHANG HONG-QING.EXACT SOLITON SOLUTIONS OF THE VARIABLE COEFFICIENT KdV-MKdV EQUATION WITH THREE ARBITRARY FUNTIONS. Acta Physica Sinica, 1999, 48(11): 1957-1961.doi:10.7498/aps.48.1957
[19]	ZHU ZUO-NONG.SOLITON-LIKE SOLUTIONS OF GENERALIZED KdV EQUA-TION WITH EXTERNAL FORCE TERM. Acta Physica Sinica, 1992, 41(10): 1561-1566.doi:10.7498/aps.41.1561
[20]	SHI HE, HAO BAI-LIN.CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅳ)——THE APPROXIMATE INTERPOLATION FORMULA FOR THE PARTITION FUNCTION. Acta Physica Sinica, 1981, 30(9): 1234-1241.doi:10.7498/aps.30.1234

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Vol. 52, Issue 7 - 2003-04-05

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