- 必威体育下载

姓名
邮箱
手机号码
标题
留言内容
验证码

Abstract

A class of nonlinear strong damping sine-Gordon disturbed evolution differential equation is studied which appears widely in mathematics and mechanics. Firstly, we introduce a traveling wave transformation, and obtain the exact solution of degenerate equation. Then a functional calculating method for variational iteration is constructed, thus an iterative expansion is found. Finally, the approximate traveling wave analytic solutions for the original strong damping generalized sine-Gordon disturbed evolution equation are found. The arbitrary order approximate solutions, and the simple variational iteration method are obtained with higher accuracy. The approximate analytic solution can make up for the imperfection of the simple numerical simulation solution.

Keywords:

Authors and contacts

1.
2.
3.
Funds:Project supported by the National Natural Science Foundation of China (Grant No. 11202106), the Fundamental Research Funds for the Central Universities, China (Grant No. 2232012D3-34), the Natural Science Foundation of the Education Department of Anhui Province, China (Grant No. KJ2014A151) and the Natural Sciences Foundation from the Universities of Jiangsu Province, China (Grant No. 13KJB170016).

References

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]

Cited By

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]

[1]	Zheng Lai-Yun, Zhao Bing-Xin, Yang Jian-Qing.Bifurcation and nonlinear evolution of convection in binary fluid mixtures with weak Soret effect. Acta Physica Sinica, 2020, 69(7): 074701.doi:10.7498/aps.69.20191836
[2]	Ning Li-Zhong, Hu Biao, Ning Bi-Bo, Tian Wei-Li.Partition and growth of convection patterns in Poiseuille-Rayleigh-Bnard flow. Acta Physica Sinica, 2016, 65(21): 214401.doi:10.7498/aps.65.214401
[3]	Taogetusang, Yi Li-Na.New infinite sequence solutions to equations of sine-Gordon type. Acta Physica Sinica, 2014, 63(21): 210202.doi:10.7498/aps.63.210202
[4]	Ouyang Cheng, Yao Jing-Sun, Shi Lan-Fang, Mo Jia-Qi.Solitary wave solution for a class of dusty plasma. Acta Physica Sinica, 2014, 63(11): 110203.doi:10.7498/aps.63.110203
[5]	Shi Lan-Fang, Zhu Min, Zhou Xian-Chun, Wang Wei-Gang, Mo Jia-Qi.The solitary traveling wave solution for a class of nonlinear evolution equations. Acta Physica Sinica, 2014, 63(13): 130201.doi:10.7498/aps.63.130201
[6]	Zhao Long, Yang Ji-Ping, Zheng Yan-Hong.Modulation of nonlinear coupling on the synchronization induced by linear coupling. Acta Physica Sinica, 2013, 62(2): 028701.doi:10.7498/aps.62.028701
[7]	Yao Xiong-Liang, Ye Xi, Zhang A-Man.Cavitation bubble in compressible fluid subjected to traveling wave. Acta Physica Sinica, 2013, 62(24): 244701.doi:10.7498/aps.62.244701
[8]	Gao Mei-Ru, Chen Huai-Tang.Hybrid solutions of three functions to the (2+1)-dimensional sine-Gordon equation. Acta Physica Sinica, 2012, 61(22): 220509.doi:10.7498/aps.61.220509
[9]	Taogetusang.New infinite sequences exact solutions to sine-Gordon-type equations. Acta Physica Sinica, 2011, 60(7): 070203.doi:10.7498/aps.60.070203
[10]	Zhang Jian-Wen, Li Jin-Feng, Wu Run-Heng.Global attractor of strongly damped nonlinearthermoelastic coupled rod system. Acta Physica Sinica, 2011, 60(7): 070205.doi:10.7498/aps.60.070205
[11]	Su Jun, Xu Wei, Duan Dong-Hai, Xu Gen-Jiu.New explicit exact solution of one type of the sine-Gordon equation with self-consistent source. Acta Physica Sinica, 2011, 60(11): 110203.doi:10.7498/aps.60.110203
[12]	Taogetusang, Sirendaoerji.New exact solutions to (n+1)-dimensional double sine-Gordon equation. Acta Physica Sinica, 2010, 59(8): 5194-5201.doi:10.7498/aps.59.5194
[13]	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
[14]	Ning Li-Zhong, Qi Xin, Yu Li, Zhou Yang.Defect structures of Rayleigh-Benard travelling wave convection in binary fluid mixtures. Acta Physica Sinica, 2009, 58(4): 2528-2534.doi:10.7498/aps.58.2528
[15]	Zhang Jian-Wen, Wang Dan-Xia, Wu Run-Heng.Global solutions for a kind of generalized Sine-Gordon equation with strong damping. Acta Physica Sinica, 2008, 57(4): 2021-2025.doi:10.7498/aps.57.2021
[16]	Mao Jie-Jian, Yang Jian-Rong.New solitary wave-like solution and exact solution of variable coefficient KP equation. Acta Physica Sinica, 2005, 54(11): 4999-5002.doi:10.7498/aps.54.4999
[17]	TANG YI, YAN JIA-REN, ZHANG KAI-WANG, CHEN ZHEN-HUA.PERTURBATION THEORY FOR SINE-GORDON EQUATION. Acta Physica Sinica, 1999, 48(3): 480-484.doi:10.7498/aps.48.480
[18]	Xu Bo-Wei, Chen Zhi-Jian, Ding Guo-Hui, Zhang Yu-Mei.. Acta Physica Sinica, 1995, 44(2): 189-195.doi:10.7498/aps.44.189
[19]	XU BO-WEI, ZHANG YU-MEI, LU WEN-FA.SINE-GORDON MODEL AND GAUSSIAN WAVE FUNCTIONAL. Acta Physica Sinica, 1993, 42(10): 1573-1579.doi:10.7498/aps.42.1573
[20]	WANG PEI, HOU BO-YUAN, HOU BO-YU, GUO HAN-YING.DUAL SYMMETRY OF CHIRAL MODEL AND GEOMETRICAL CORRESPONDENCE BETWEEN CHIRAL FIELD AND SINE-GORDON EQUATION. Acta Physica Sinica, 1984, 33(3): 294-301.doi:10.7498/aps.33.294

Catalog

Vol. 64, Issue 1 - 2015-01-05

Metrics

Abstract views:6158
PDF Downloads:664
Cited By:0

Search

Article

留言板

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About