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Abstract
In this paper, we obtained five kinds of new doubly-periodic solutions by using sinh-Gordon equation expansion method for nonlinear coupled scalar field equations which show physical significance and application value. In degeneration, we can obtain the new solitary wave solutions and trigonometric function solutions. The results showed that the equation has plenty of constructions of solutions, the physical phenomena of the physical model which the equation described, will be the object many physicists and mathematicians further explore.

Keywords:
nonlinear coupled scalar field equations/

sinh-Gordon equation expan sion method/

doubly-periodic solutions/

exact solutions
Authors and contacts
Li De-Sheng²,

Zhang Hong-Qing¹
References

Cited By

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[2]	Li Kai-Hui, Liu Han-Ze, Xin Xiang-Peng.Lie symmetry analysis, optimal system, exact solutions and conservation laws of a class of high-order nonlinear wave equations. Acta Physica Sinica, 2016, 65(14): 140201.doi:10.7498/aps.65.140201
[3]	Liu Yong, Liu Xi-Qiang.Exact solutions of Whitham-Broer-Kaup equations with variable coefficients. Acta Physica Sinica, 2014, 63(20): 200203.doi:10.7498/aps.63.200203
[4]	Wang Zhen-Li, Liu Xi-Qiang.Nonlocal symmetry and explicit solutions of the Kaup-Kupershmidt equation. Acta Physica Sinica, 2014, 63(18): 180205.doi:10.7498/aps.63.180205
[5]	Yin Jun-Yi.Extended expansion method for (G/G) and new exact solutions of Zakharov equations. Acta Physica Sinica, 2013, 62(20): 200202.doi:10.7498/aps.62.200202
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[7]	Yang Zheng, Ma Song-Hua, Fang Jian-Ping.Exact solutions and soliton structures of (2+1)-dimensionalZakharov-Kuznetsov equation. Acta Physica Sinica, 2011, 60(4): 040508.doi:10.7498/aps.60.040508
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[9]	Taogetusang, Sirendaoerji.A method for constructing exact solutions of nonlinear evolution equation with variable coefficients. Acta Physica Sinica, 2009, 58(4): 2121-2126.doi:10.7498/aps.58.2121
[10]	Taogetusang, Sirendaoerji.The auxiliary equation for constructing the exact solutions of the variable coefficient combined KdV equation with forcible term. Acta Physica Sinica, 2008, 57(3): 1295-1300.doi:10.7498/aps.57.1295
[11]	Mao Jie-Jian, Yang Jian-Rong.New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation. Acta Physica Sinica, 2007, 56(9): 5049-5053.doi:10.7498/aps.56.5049
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[13]	Zeng Xin, Zhang Hong-Qing.Backlund transformation and exact solutions for (2+1)-dimensional Boussinesq eq uation. Acta Physica Sinica, 2005, 54(4): 1476-1480.doi:10.7498/aps.54.1476
[14]	Zhi Hong-Yan, Wang Qi, Zhang Hong-Qing.A series of new exact solutions to the (2+1)-dimensional Broer-Kau-Kupershmidt equation. Acta Physica Sinica, 2005, 54(3): 1002-1008.doi:10.7498/aps.54.1002
[15]	Han Zhao-Xiu.New exact solutions for nonlinear Klein-Gordon equations. Acta Physica Sinica, 2005, 54(4): 1481-1484.doi:10.7498/aps.54.1481
[16]	Liu Cheng-Shi, Du Xing-Hua.New exact solutions of coupled Klein-Gordon-Schr?dinger equations. Acta Physica Sinica, 2005, 54(3): 1039-1043.doi:10.7498/aps.54.1039
[17]	Lü Da-Zhao.Abundant Jacobi elliptic function solutions of nonlinear evolution equations. Acta Physica Sinica, 2005, 54(10): 4501-4505.doi:10.7498/aps.54.4501
[18]	Huang Ding-Jiang, Zhang Hong-Qing.Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations. Acta Physica Sinica, 2004, 53(8): 2434-2438.doi:10.7498/aps.53.2434
[19]	Shi Yu-ren, Lü Ke-Pu, Duan Wen-Shan, Hong Xue-Ren, Zhao Jin-Bao, Yang Hong-Juan.Explicit and exact solutions of the combined KdV equation. Acta Physica Sinica, 2003, 52(2): 267-270.doi:10.7498/aps.52.267
[20]	Li De-Sheng, Zhang Hong-Qing.The new doubly-periodic solutions for nonlinear coupled scalar field equations( Ⅱ). Acta Physica Sinica, 2003, 52(10): 2379-2385.doi:10.7498/aps.52.2379

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Vol. 52, Issue 10 - 2003-05-20

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