Solving method of solitary wave for (3+1) - dimensional burgers disturbed system

Xu Yong-Hong; Yao Jing-Sun; Mo Jia-Qi

doi:10.7498/aps.61.020202

Abstract

A class of higher-dimensional disturbed nonlinear Burgers system in physical model is studied. By using the modifying generalized variational iteration method, the corresponding iteration expansions are constructed. And the approximate solutions of the solitary wave by using the iteration method are obtained.

Keywords:

Authors and contacts

1.
Department of Mathematics & Physics, Bengbu College, Bengbu 233030, China;
2.
Department of Mathematics, Anhui Normal University, Wuhu 241003, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11071205), the “Strategic Priority Research Program-Climate Change: Carbon Budget and Relevant Issues” of the Chinese Academy of Sciences (Grant No. XDA01020304), the Natural Science Foundation of Jiangsu Province (Grant No. BK2011042), the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6110502), and the Natural Science Foundation from the Education Bureau of Anhui Province, China(Grant Nos. KJ2011A135, KJ2011Z003).

References

[1]	Wang Mingliang 1995 Phys. Lett. A 199 169
[2]	Ying J P, Lou S Y 2003 Chin. Phys. Lett. 20 1448
[3]	Ying J P, Zheng C L, Zhu J M 2005 Commun. Theor. Phys. 44 203
[4]	Fang J P, Zheng C L 2005 Chin. Phys. 14 669
[5]	Ma Y L, Li B Q, Sun J Z 2009 Acta Phys. Sin. 58 7402 (in Chinese) [马玉兰, 李帮庆, 孙践知 2009 58 7402]
[6]	Ma S H, Fang J P, Ren Q B 2010 Acta Phys. Sin. 59 4420 (in Chinese) [马松华, 方建平, 任清褒 2010 59 4420]
[7]	Mo J Q 2009 Science in China Ser. G 52 1007
[8]	Mo J Q, Lin W T 2008 J. Sys. Sci. & Complexity 20 119
[9]	Mo J Q 2009 Chin. Phys. Lett. 26 010204
[10]	Mo J Q 2009 Chin. Phys. Lett. 26 060202
[11]	Mo J Q 2010 Commun. Theor. Phys. 53 440
[12]	Mo J Q 2010 Chin. Phys. B 19 010203
[13]	Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[14]	Mo J Q 2011 Acta. Phys. Sin. 60 030203 (in Chinese) [莫嘉琪 2011 2011 60 030203]
[15]	He J H 2002 Approximate Nonlinear Analytical Methods in Engineering and Science (Shengzhou: Henan Science and Technology Press,) (in Chinese) [何吉欢 2002 工程和科学计算中的非线性近似分析方法 (郑州: 河南科学技术出版社)]

Cited By

[1]	Wang Mingliang 1995 Phys. Lett. A 199 169
[2]	Ying J P, Lou S Y 2003 Chin. Phys. Lett. 20 1448
[3]	Ying J P, Zheng C L, Zhu J M 2005 Commun. Theor. Phys. 44 203
[4]	Fang J P, Zheng C L 2005 Chin. Phys. 14 669
[5]	Ma Y L, Li B Q, Sun J Z 2009 Acta Phys. Sin. 58 7402 (in Chinese) [马玉兰, 李帮庆, 孙践知 2009 58 7402]
[6]	Ma S H, Fang J P, Ren Q B 2010 Acta Phys. Sin. 59 4420 (in Chinese) [马松华, 方建平, 任清褒 2010 59 4420]
[7]	Mo J Q 2009 Science in China Ser. G 52 1007
[8]	Mo J Q, Lin W T 2008 J. Sys. Sci. & Complexity 20 119
[9]	Mo J Q 2009 Chin. Phys. Lett. 26 010204
[10]	Mo J Q 2009 Chin. Phys. Lett. 26 060202
[11]	Mo J Q 2010 Commun. Theor. Phys. 53 440
[12]	Mo J Q 2010 Chin. Phys. B 19 010203
[13]	Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[14]	Mo J Q 2011 Acta. Phys. Sin. 60 030203 (in Chinese) [莫嘉琪 2011 2011 60 030203]
[15]	He J H 2002 Approximate Nonlinear Analytical Methods in Engineering and Science (Shengzhou: Henan Science and Technology Press,) (in Chinese) [何吉欢 2002 工程和科学计算中的非线性近似分析方法 (郑州: 河南科学技术出版社)]

[1]	Tang Wei, Wang Xiao-Pu, Cao Jing-Jun. Modeling and analysis of piezoelectric vibration energy harvesting system using permanent magnetics. Acta Physica Sinica, 2014, 63(24): 240504. doi: 10.7498/aps.63.240504
[2]	Xu Yong-Hong, Han Xiang-Lin, Shi Lan-Fang, Mo Jia-Qi. The traveling wave approximation method for solving solitary wave in Schrödinger disturbed coupled system. Acta Physica Sinica, 2014, 63(9): 090204. doi: 10.7498/aps.63.090204
[3]	Wang Wei-Gang, Lin Wan-Tao, Shi Lan-Fang, Mo Jia-Qi. Approximate solution of solitary wave for nonlinear-disturbed time delay long-wave system. Acta Physica Sinica, 2014, 63(11): 110204. doi: 10.7498/aps.63.110204
[4]	Chen Li-Juan, Lu Shi-Ping. The problem of periodic solution of nonlinear model in zero-dimensional climate system. Acta Physica Sinica, 2013, 62(20): 200201. doi: 10.7498/aps.62.200201
[5]	Dong Hai-Ming. Electrically-controlled nonlinear terahertz optical properties of graphene. Acta Physica Sinica, 2013, 62(23): 237804. doi: 10.7498/aps.62.237804
[6]	Zhou Xian-Chun, Lin Wan-Tao, Lin Yi-Hua, Mo Jia-Qi. Solitary waves solution in atmospheric inhomogeneous quantum plasma. Acta Physica Sinica, 2012, 61(24): 240202. doi: 10.7498/aps.61.240202
[7]	Chen Qiong, Yang Xian-Qing, Zhao Xin-Yin, Wang Zhen-Hui, Zhao Yue-Min. Binary collision approximation for solitary wave in periodic dimer granular chains. Acta Physica Sinica, 2012, 61(4): 044501. doi: 10.7498/aps.61.044501
[8]	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
[9]	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
[10]	Mo Jia-Qi, Wen Zhao-Hui. Solitary wave series solution for generalized (3+1)-dimensional nonlinear Burgers system. Acta Physica Sinica, 2010, 59(12): 8311-8315. doi: 10.7498/aps.59.8311
[11]	Ma Yu-Lan, Li Bang-Qing, Sun Jian-Zhi. New application of (G′/G)-expansion method to high-dimensional nonlinear physical equations. Acta Physica Sinica, 2009, 58(11): 7402-7409. doi: 10.7498/aps.58.7402
[12]	Mo Jia-Qi, Zhang Wei-Jiang, Chen Xian-Feng. Variational iteration method for solving a class of strongly nonlinear evolution equations. Acta Physica Sinica, 2009, 58(11): 7397-7401. doi: 10.7498/aps.58.7397
[13]	Mo Jia-Qi, Zhang Wei-Jiang, He Ming. The solitary wave approximate solution of strongly nonlinear evolution equations. Acta Physica Sinica, 2007, 56(4): 1843-1846. doi: 10.7498/aps.56.1843
[14]	Mo Jia-Qi, Zhang Wei-Jiang, Chen Xian-Feng. The homotopic solving method of solitary wave for strong nonlinear evolution equation. Acta Physica Sinica, 2007, 56(11): 6169-6172. doi: 10.7498/aps.56.6169
[15]	Duan Wen-Shan, Hong Xue-Ren. Ion acoustic solitary waves in a weakly relativistic plasma under transverse p erturbations. Acta Physica Sinica, 2003, 52(6): 1337-1339. doi: 10.7498/aps.52.1337
[16]	Tan Wen, Wang Yao-Nan, Liu Zhu-Run, Zhou Shao-Wu. . Acta Physica Sinica, 2002, 51(11): 2463-2466. doi: 10.7498/aps.51.2463
[17]	Xu Gui-Qiong, Li Zhi-Bin. . Acta Physica Sinica, 2002, 51(5): 946-950. doi: 10.7498/aps.51.946
[18]	YANG XIN-E, GAO HOU-XIU, LI JING-SHENG, ZHENG JUN-JUAN, YANG YU-QIN. THE NONLINEAR MECHANISM OF THE FLUID-LIKE FLUCTUATION IN THE Cu-Zn-Al ALLOY. Acta Physica Sinica, 2001, 50(7): 1346-1349. doi: 10.7498/aps.50.1346
[19]	LI ZHI-BIN, YAO RUO-XIA. EXPLICIT EXACT SOLUTIONS TO NONLINEARCOUPLED DIFFERENTIAL EQUATIONS. Acta Physica Sinica, 2001, 50(11): 2062-2067. doi: 10.7498/aps.50.2062
[20]	LI SONG-MAO, WANG QI, WU ZHONG, WEI QING. SLOW BRAGG SOLITONS IN A PERIODIC STRUCTURE WITH KERR NONLINEARITY. Acta Physica Sinica, 2001, 50(3): 489-495. doi: 10.7498/aps.50.489

Catalog

Vol. 61, Issue 2 - 2012-01-20

Metrics

Abstract views: 6484
PDF Downloads: 475
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

Solving method of solitary wave for (3+1) - dimensional burgers disturbed system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Solving method of solitary wave for (3+1) - dimensional burgers disturbed system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About