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Abstract
In this paper, a class of wading wave equations are considered. Using the homotopic mapping theory and method, the corresponding approximate solution of the system is obtained.

Keywords:
wading wave/

nonlinear/

homotopic mapping/

approximate solution
Authors and contacts
Mo Jia-Qi²,

Lin Wan-Tao¹
References

Cited By

[1]	Shi Lan-Fang, Chen Xian-Feng, Han Xiang-Lin, Xu Yong-Hong, Mo Jia-Qi.Asymptotic expressions of path curve for a class of Fermi gases in nonlinear disturbed mechanism. Acta Physica Sinica, 2014, 63(6): 060204.doi:10.7498/aps.63.060204
[2]	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
[3]	Shi Lan-Fang, Zhou Xian-Chun, Mo Jia-Qi.The traveling wave approximate solution for a class of atmospheric wading wave system by generalized variational iteration. Acta Physica Sinica, 2013, 62(23): 230202.doi:10.7498/aps.62.230202
[4]	Han Xiang-Lin, Du Zeng-Ji, Mo Jia-Qi.Singular perturbation solution of a class of sea-air oscillator for the El Niño/La Niña-southern oscillation. Acta Physica Sinica, 2012, 61(20): 200208.doi:10.7498/aps.61.200208
[5]	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
[6]	Ye Wang-Chuan, Li Biao, Wang Jia.Approximate solution to Sinh-Gordon equation via the homotopy analysis method. Acta Physica Sinica, 2011, 60(3): 030207.doi:10.7498/aps.60.030207
[7]	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
[8]	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
[9]	Mo Jia-Qi, Lin Yi-Hua, Lin Wan-Tao.Approximate solution of sea-air oscillator for El Ni?o-southern oscillation model. Acta Physica Sinica, 2010, 59(10): 6707-6711.doi:10.7498/aps.59.6707
[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]	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, Cheng Yan.Approximate solution of homotopic mapping for generalized Boussinesq equation. Acta Physica Sinica, 2009, 58(7): 4379-4382.doi:10.7498/aps.58.4379
[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, 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
[15]	Lin Wan-Tao, Mo Jia-Qi.Approximate analytic solution of a class of atmosphere-ocean coupled oscillator mechanism for globe climate. Acta Physica Sinica, 2008, 57(5): 2633-2637.doi:10.7498/aps.57.2633
[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]	Shi Pei-Ming, Liu Bin.Stability of nonlinear dynamical system of relative rotation and approximate solution under forced excitation. Acta Physica Sinica, 2007, 56(7): 3678-3682.doi:10.7498/aps.56.3678
[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, Wang Hui, Lin Wan-Tao.Approximate analytic solution of land-air couplind dynamical system. Acta Physica Sinica, 2006, 55(2): 485-489.doi:10.7498/aps.55.485
[20]	Wang Kun.Stability and approximate solution of nonlinear dynamic system of a cylinder with two end faces in relative rotation. Acta Physica Sinica, 2005, 54(12): 5530-5533.doi:10.7498/aps.54.5530

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Vol. 56, Issue 7 - 2007-04-05

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