Soliton-like homotopic approximate analytic solution for a class of disturbed nonlinear evolution equation

Shi Lan-Fang; Mo Jia-Qi

doi:10.7498/aps.58.8123

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

(1)安徽师范大学数学系,芜湖 241000; (2)南京信息工程大学数理学院,南京 210044
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
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[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
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[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
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[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
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Vol. 58, Issue 12 - 2009-06-20

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Soliton-like homotopic approximate analytic solution for a class of disturbed nonlinear evolution equation

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Soliton-like homotopic approximate analytic solution for a class of disturbed nonlinear evolution equation

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