Perturbation theory of soliton solution for the generalized Landau-Ginzburg-Higgs equation

Mo Jia-Qi; Wang Hui; Lin Yi-Hua

doi:10.7498/aps.54.5581

Abstract
Using the perturbed method, a class of generalized Landau-Ginzburg-Higgs equation is studied. Introducing a homotopic mapping, the solution of original equation is expressed as an asymptotic expansion, then it is expressed approximately by corresponding solutions of linear equations. Finally, the solution of equation in relation to the obtained approximate solution is considered.

Keywords:
soliton /

perturbation /

homotopic mapping
Authors and contacts
Mo Jia-Qi¹,

Wang Hui³,

Lin Yi-Hua²

(1)安徽师范大学数学系，芜湖 241000;湖州师范学院数学系，湖州 313000; (2)中国科学院大气物理研究所，北京 100029; (3)中国气象科学研究院，北京 100081
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, 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
[19]	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
[20]	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

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Vol. 54, Issue 12 - 2005-06-20

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Perturbation theory of soliton solution for the generalized Landau-Ginzburg-Higgs equation

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