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Abstract
The approximate solution for a class of disturbed nonlinear evolution equation is considered taking a simple and valid technique. We first introduce approximate solution of a corresponding typical differential equation. And then the approximate solution for a original disturbed nonlinear evolution equation is obtained using the homotopic mapping method.

Keywords:
soliton/

disturbed evolution equation/

homotopic mapping
Authors and contacts
Shi Lan-Fang²,

Mo Jia-Qi¹
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]	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
[10]	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
[11]	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
[12]	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
[13]	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
[14]	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
[15]	Mo Jia-Qi, Yao Jing-Sun.Homotopic mapping solution of soliton for perturbed KdV equation. Acta Physica Sinica, 2008, 57(12): 7419-7422.doi:10.7498/aps.57.7419
[16]	Mo Jia-Qi, Lin Wan-Tao.Approximate solution for a class of atmospheric wading wave equations. Acta Physica Sinica, 2007, 56(7): 3662-3666.doi:10.7498/aps.56.3662
[17]	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
[18]	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
[19]	Shen Shou-Feng.Variable separation solution and soliton excitations of the (1+1)-dimensional generalised shallow water wave equation. Acta Physica Sinica, 2006, 55(3): 1016-1022.doi:10.7498/aps.55.1016
[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. 58, Issue 12 - 2009-06-20

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