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A class of nonlinear evolution equation is considered by taking a simple and valid technique. Using the method of undetermined functions, firstly we introduce the solitary traveling wave solutions to the corresponding non-disturbed equation. And then the solitary wave solutions to the nonlinear disturbed dispersive equation are obtained using the generalized variational iteration method.
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Keywords:
- solitary /
- traveling wave /
- variational iteration
[1] McPhaden M J, Zhang D 2002 Nature 415 603
[2] Gu D F, Philander S G H 1997 Science 275 805
[3] Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese)[马松华, 强继业, 方建平 2007 物理学报 56 620]
[4] Ma S H, Qiang J Y, Fang J P 2007 Comm. Theor. Phys. 48 662
[5] Loutsenko I 2006 Comm. Math. Phys. 268 465
[6] Gedalin M 1998 Phys. Plasmas 5 127
[7] Parkes E J 2008 Chaos Solitons Fractals 38 154
[8] Wang M L 1995 Phys. Lett. A 199 169
[9] Sirendaoreji J S 2003 Phys. Lett. A 309 387
[10] Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527
[11] Gao Y, Tang X Y 2007 Commum. Theor. Phys. 48 961
[12] Yang J R, Mao J J 2008 Chin. Phys. 17 4337
[13] Chen J, He H S, Yang K Q 2005 Chin, Phys, B 14 1926
[14] Ahmet Yildirim, Syed Tauseef Mohyud-Din 2010 Chin. Phys. Lett. 27 060201
[15] Tapgetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese)[套格图桑, 斯仁道尔吉 2009 物理学报 58 2121]
[16] Yin L J, Tian L X 2009 Acta Phys. Sin. 58 3632 (in Chinese)[殷利久, 田立新 2009 物理学报 58 3632]
[17] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Shengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和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)]
[18] Hovhannisyan G., Vulanovic R 2008 Nonlinear Stud. 15 297
[19] Graef J R, Kong L 2008 Math. Proc. Camb. Philos. Soc. 145 489
[20] Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392
[21] Ramos M 2009 J. Math. Anal. Appl. 352 246
[22] Lin W T, Lin Y H, Mo J Q 2012 Chin. Phys. B 21 019294
[23] Shi L F, Mo J Q 2013 Acta Phys. Sin. 62 040203 (in Chinese)[石兰芳, 莫嘉琪 2013 物理学报 62 040203]
[24] Shi L F, Lin W T, Lin Y H, Mo J Q 2013 Acta Phys. Sin. 62 010201 (in Chinese)[石兰芳, 林万涛, 林一骅, 莫嘉琪 2013 物理学报 62 010201]
[25] Ouyang C, Chen L H, Mo J Q 2012 Chin. Phys. B 21 050203
[26] Zhou X C, Lin W T, Lin Y H, Mo J Q 2012 Acta Phys. Sin. 61 240202 (in Chinese)[周先春, 林万涛, 林一骅, 莫嘉琪 2012 物理学报 61 240202]
[27] Zhou X C, Yao J S, Mo J Q 2012 Chin. Phys. B 21 030201
[28] Zhou X C, Shi L F, Mo J Q 2014 Chin. Phys. B 23 040202
[29] Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 010208
[30] Mo J Q 2009 Chin Phys. Lett. 26 010204
[31] Lin W T, Zhang Y, Mo J Q 2013 Chin. Phys. B 23 020305
[32] Mo J Q 2011 Commun. Theor. Phys. 55 387
-
[1] McPhaden M J, Zhang D 2002 Nature 415 603
[2] Gu D F, Philander S G H 1997 Science 275 805
[3] Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese)[马松华, 强继业, 方建平 2007 物理学报 56 620]
[4] Ma S H, Qiang J Y, Fang J P 2007 Comm. Theor. Phys. 48 662
[5] Loutsenko I 2006 Comm. Math. Phys. 268 465
[6] Gedalin M 1998 Phys. Plasmas 5 127
[7] Parkes E J 2008 Chaos Solitons Fractals 38 154
[8] Wang M L 1995 Phys. Lett. A 199 169
[9] Sirendaoreji J S 2003 Phys. Lett. A 309 387
[10] Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527
[11] Gao Y, Tang X Y 2007 Commum. Theor. Phys. 48 961
[12] Yang J R, Mao J J 2008 Chin. Phys. 17 4337
[13] Chen J, He H S, Yang K Q 2005 Chin, Phys, B 14 1926
[14] Ahmet Yildirim, Syed Tauseef Mohyud-Din 2010 Chin. Phys. Lett. 27 060201
[15] Tapgetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese)[套格图桑, 斯仁道尔吉 2009 物理学报 58 2121]
[16] Yin L J, Tian L X 2009 Acta Phys. Sin. 58 3632 (in Chinese)[殷利久, 田立新 2009 物理学报 58 3632]
[17] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Shengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和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)]
[18] Hovhannisyan G., Vulanovic R 2008 Nonlinear Stud. 15 297
[19] Graef J R, Kong L 2008 Math. Proc. Camb. Philos. Soc. 145 489
[20] Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392
[21] Ramos M 2009 J. Math. Anal. Appl. 352 246
[22] Lin W T, Lin Y H, Mo J Q 2012 Chin. Phys. B 21 019294
[23] Shi L F, Mo J Q 2013 Acta Phys. Sin. 62 040203 (in Chinese)[石兰芳, 莫嘉琪 2013 物理学报 62 040203]
[24] Shi L F, Lin W T, Lin Y H, Mo J Q 2013 Acta Phys. Sin. 62 010201 (in Chinese)[石兰芳, 林万涛, 林一骅, 莫嘉琪 2013 物理学报 62 010201]
[25] Ouyang C, Chen L H, Mo J Q 2012 Chin. Phys. B 21 050203
[26] Zhou X C, Lin W T, Lin Y H, Mo J Q 2012 Acta Phys. Sin. 61 240202 (in Chinese)[周先春, 林万涛, 林一骅, 莫嘉琪 2012 物理学报 61 240202]
[27] Zhou X C, Yao J S, Mo J Q 2012 Chin. Phys. B 21 030201
[28] Zhou X C, Shi L F, Mo J Q 2014 Chin. Phys. B 23 040202
[29] Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 010208
[30] Mo J Q 2009 Chin Phys. Lett. 26 010204
[31] Lin W T, Zhang Y, Mo J Q 2013 Chin. Phys. B 23 020305
[32] Mo J Q 2011 Commun. Theor. Phys. 55 387
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