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Abstract
Using the homotopic mapping method, a class of nonlinear KdV(Korteweg de Vries) equation is considered. Firstly, by introducing a homotopic transform, the problem of solving soliton for the corresponding equation is changed into a problem of mapping transform. Then on account of the property of the homotopic mapping, the approximate solution of soliton for the original equation is obtained.

Keywords:
soliton/

perturbation/

homotopic mapping
Authors and contacts
Mo Jia-Qi,

Yao Jing-Sun
References

Cited By

[1]	Hong Bao-Jian, Lu Dian-Chen.Homotopic approximate solutions for a class of generalized perturbed Kdv-Burgers equation. Acta Physica Sinica, 2013, 62(17): 170202.doi:10.7498/aps.62.170202
[2]	Lin Wan-Tao, Chen Li-Hua, Ouyang Cheng, Mo Jia-Qi.Asymptotic solving method of soliton for El Nio/La Nia-southern oscillation nonlinear disturbed model. Acta Physica Sinica, 2012, 61(8): 080204.doi:10.7498/aps.61.080204
[3]	Wu Qin-Kuan.Variational iteration solution method of soliton for a class of nonlinear disturbed Burgers equation. Acta Physica Sinica, 2012, 61(2): 020203.doi:10.7498/aps.61.020203
[4]	Lin Yi-Hua, Xie Feng, Mo Jia-Qi, Lin Wan-Tao.The solutions for disturbed El Ni o/La Ni a-southern oscillation model. Acta Physica Sinica, 2011, 60(1): 010201.doi:10.7498/aps.60.010201
[5]	Wu Qin-Kuan.Approximate solution of homotopic mapping for nonlinear vibration problem of transmission line. Acta Physica Sinica, 2011, 60(6): 068802.doi:10.7498/aps.60.068802
[6]	Shi Lan-Fang, Zhou Xian-Chun, Mo Jia-Qi.Asymptotic solution for fractal soliton of disturbed Nizhnik-Novikov-Veselov system. Acta Physica Sinica, 2011, 60(11): 110205.doi:10.7498/aps.60.110205
[7]	Wen Zhao-Hui, Xu Yong-Hong, Mo Jia-Qi.Soliton solution for the disturbed mKdV coupled system. Acta Physica Sinica, 2011, 60(5): 050205.doi:10.7498/aps.60.050205
[8]	Mo Jia-Qi, Chen Xian-Feng.Approximate solution of solitary wave for a class of generalized nonlinear disturbed dispersive equation. Acta Physica Sinica, 2010, 59(3): 1403-1408.doi:10.7498/aps.59.1403
[9]	Mo Jia-Qi, Chen Xian-Feng.Approximate analytic solution of solitary wave for a class of nonlinear disturbed Nizhnik-Novikov-Veselov system. Acta Physica Sinica, 2010, 59(5): 2919-2923.doi:10.7498/aps.59.2919
[10]	Zhou Xian-Chun, Lin Wan-Tao, Lin Yi-Hua, Mo Jia-Qi.Approximation solution of a class of disturbed sea-air coupled oscillator mechanism. Acta Physica Sinica, 2010, 59(4): 2173-2177.doi:10.7498/aps.59.2173
[11]	Mo Jia-Qi, Yao Jing-Sun.Approximate solution of 2-soliton for generalized disturbed mKdV coupled system. Acta Physica Sinica, 2010, 59(8): 5190-5193.doi:10.7498/aps.59.5190
[12]	Shi Lan-Fang, Zhou Xian-Chun.Homotopic mapping solution of soliton for a class of disturbed Burgers equation. Acta Physica Sinica, 2010, 59(5): 2915-2918.doi:10.7498/aps.59.2915
[13]	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
[14]	Mo Jia-Qi.Analytic solution for a class of generalized Sine-Gordon perturbation equation. Acta Physica Sinica, 2009, 58(5): 2930-2933.doi:10.7498/aps.58.2930
[15]	Liu Tao-Xiang, Tang Xin-Feng, Li Han, Su Xian-Li, Zhang Qing-Jie.Study on rattling of filling atom in Sm filled-skutterudite compounds. Acta Physica Sinica, 2008, 57(11): 7078-7082.doi:10.7498/aps.57.7078
[16]	Mo Jia-Qi, Lin Wan-Tao.Homotopic mapping method for solving a class of Lorenz system. Acta Physica Sinica, 2008, 57(11): 6694-6698.doi:10.7498/aps.57.6694
[17]	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
[18]	Mo Jia-Qi, Lin Wan-Tao.Homotopic mapping method of solution for the sea-air oscillator model of decadal variations in subtropical cells and equatorial pacific. Acta Physica Sinica, 2007, 56(10): 5565-5568.doi:10.7498/aps.56.5565
[19]	Mo Jia-Qi, Zhang Wei-Jiang, He Ming.The variational iteration method for the soliton solution of nonlinear generalized Landau-Ginzburg-Higgs equation. Acta Physica Sinica, 2007, 56(4): 1847-1850.doi:10.7498/aps.56.1847
[20]	Mo Jia-Qi, Wang Hui, Lin Yi-Hua.Perturbation theory of soliton solution for the generalized Landau-Ginzburg-Higgs equation. Acta Physica Sinica, 2005, 54(12): 5581-5584.doi:10.7498/aps.54.5581

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Vol. 57, Issue 12 - 2008-06-20

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