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In this paper, a class of wading wave system is considered. Firstly, the corresponding functional is constructed; secondly, its Lagrange operators are selected. Then, using the modified generalized variational iteration method, the corresponding traveling wave approximate analytic solutions are obtained.
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Keywords:
- wading wave /
- nonlinear /
- generalized variational iteration /
- approximate solution
[1] Vincent H C 2010 J. Gydro-enviro. Res. 3 173
[2] Cullen M J P 2008 Phys. D 237 1451
[3] Agnes H 2008 Comput. Math. Appl. 55 2295
[4] Callagham T G, Forbes L K 2006 J Cmput. Phys. 217 854
[5] Wu J, Lee T S. Shu B 2001 Comput. Methods Appl. Mech. Engrg. 190 2009
[6] Mo J Q, Lin W T 2007 Acta Phys. Sin. 56 3662 (in Chinese) [莫嘉琪, 林万涛 2007 56 3662]
[7] Mao J J, Yang J R 2007 Acta Phys. Sin. 57 5049 (in Chinese) [毛杰键, 杨建荣 2007 57 5049]
[8] Yang J R, Mao J J 2009 Acta Phys. Sin. 58 3611 (in Chinese) [杨建荣, 毛杰键 2009 58 3611]
[9] Mao J J, Yang J R 2013 Acta Phys. Sin. 62 130205 (in Chinese) [毛杰键, 杨建荣 2013 62 130205]
[10] Mo J Q, Wang H, Lin W T, Lin Y H 2006 Chin.Chys. 15 671
[11] Mo J Q, Wang H, Lin W T 2006 Chin Chys. 15 1450
[12] Mo J Q, Wang H, Lin W T 2006 Chin.Chys. 15 1927
[13] Mo J Q, Lin Y H, Lin W T 2012 Chin. Geograph. Sci. 22 42
[14] Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 070205
[15] Mo J Q, Lin W T 2011 Sis. Sci. & Complexity 24 27
[16] Lin W T, Zhang Y, Mo J Q 2013 Chin. Phys. B 22 030205
[17] Ouyang C, Lin W T, Cheng R J, Mo J Q 2013 Acta Phys. Sin. 62 960201 (in Chinese) [欧阳成, 林万涛, 程荣军, 莫嘉琪 2013 62 960201]
[18] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Shengzhou: Science and Technology Publisher) (in Chinese) [何吉欢 2002 工程与科学计算中的近似非线性分析方法 (郑州: 河南科学技术出版社)]
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[1] Vincent H C 2010 J. Gydro-enviro. Res. 3 173
[2] Cullen M J P 2008 Phys. D 237 1451
[3] Agnes H 2008 Comput. Math. Appl. 55 2295
[4] Callagham T G, Forbes L K 2006 J Cmput. Phys. 217 854
[5] Wu J, Lee T S. Shu B 2001 Comput. Methods Appl. Mech. Engrg. 190 2009
[6] Mo J Q, Lin W T 2007 Acta Phys. Sin. 56 3662 (in Chinese) [莫嘉琪, 林万涛 2007 56 3662]
[7] Mao J J, Yang J R 2007 Acta Phys. Sin. 57 5049 (in Chinese) [毛杰键, 杨建荣 2007 57 5049]
[8] Yang J R, Mao J J 2009 Acta Phys. Sin. 58 3611 (in Chinese) [杨建荣, 毛杰键 2009 58 3611]
[9] Mao J J, Yang J R 2013 Acta Phys. Sin. 62 130205 (in Chinese) [毛杰键, 杨建荣 2013 62 130205]
[10] Mo J Q, Wang H, Lin W T, Lin Y H 2006 Chin.Chys. 15 671
[11] Mo J Q, Wang H, Lin W T 2006 Chin Chys. 15 1450
[12] Mo J Q, Wang H, Lin W T 2006 Chin.Chys. 15 1927
[13] Mo J Q, Lin Y H, Lin W T 2012 Chin. Geograph. Sci. 22 42
[14] Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 070205
[15] Mo J Q, Lin W T 2011 Sis. Sci. & Complexity 24 27
[16] Lin W T, Zhang Y, Mo J Q 2013 Chin. Phys. B 22 030205
[17] Ouyang C, Lin W T, Cheng R J, Mo J Q 2013 Acta Phys. Sin. 62 960201 (in Chinese) [欧阳成, 林万涛, 程荣军, 莫嘉琪 2013 62 960201]
[18] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Shengzhou: Science and Technology Publisher) (in Chinese) [何吉欢 2002 工程与科学计算中的近似非线性分析方法 (郑州: 河南科学技术出版社)]
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