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The solitary wave approximate solutions for a class of nonlinear-disturbed time delay long-wave system are considered. First, we introduce into exact solution of a non-disturbed typical long-wave system. Then, by using the homotopic mapping and an improved technique, the approximate expansions of the traveling wave solutions for the nonlinear-disturbed time delay long-wave systems are constructed.
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Keywords:
- approximate solution /
- solitary wave /
- time delay
[1] Parkes E J 2008 Chaos Solitons Fractals 154
[2] Wang M L 1995 Phys. Lett. A 199 169
[3] Sirendaoreji J S 2003 Phys. Lett. A 309 387
[4] Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527
[5] Yang X D, Ruan H Y, Luo S Y 2007 Commum. Theor. Phys. 48 961
[6] Yang J R, Mao J J 2008 Chin. Phys. B 17 4337
[7] 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]
[8] Ni W M, Wei J C 2006 J. Differ. Equations 221 158
[9] Bartier J P 2006 Asymptotic Anal. 46 325
[10] Libre J, da Silva P R 2007 J. Dyn. Differ. Equations 19 309
[11] Faye L, Frenod, E, Seck D 2011 Discrete Contin. Dyn. Syst. 29 1001
[12] Tian C R, Zhu P 2011 Acta Appl. Math. 121 157
[13] Mo J Q 1989 Science in China Ser A 32 1306
[14] Han X L, Zhao Z J, Cheng R J, Mo J Q 2013 Acta Phys. Sin. 62 110203 (in Chinese) [韩祥临, 赵振江, 程荣军, 莫嘉琪 2013 物理学报 62 110203]
[15] Mo J Q, Wang H 2007 Acta Ecologica Sinica 27 4366
[16] Mo J Q, Zhang W J, He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) [莫嘉琪, 张伟江, 何铭 2007 物理学报 56 1843]
[17] Mo J Q, Zhang W J, Chen X F 2007 Acta Phys. Sin. 56 6169 (in Chinese) [莫嘉琪, 张伟江, 陈贤峰 2007 物理学报 56 6169]
[18] Shi L F, Lin W T, Lin Y H, Mo J Q 2013 Acta Phys. Sin. 62 010203 (in Chinese) [石兰芳, 林万涛, 林一骅, 莫嘉琪 2013 物理学报 62 010203]
[19] Mo J Q, Zhang W J, He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) [莫嘉琪, 张伟江, 何铭 2006 物理学报 55 3233]
[20] Shi L F, Ouyang C, Mo J Q 2012 Acta Phys. Sin. 61 120201 (in Chinese) [石兰芳, 欧阳成, 莫嘉琪 2012 物理学报 61 120201]
[21] Shi L F, Zhou X C, Mo J Q 2013 Acta Phys. Sin. 62 230202
[22] Lin W T, Chen L H, Ouyang C, Mo J Q 2012 Acta Phys. Sin. 61 080204 (in Chinese) [林万涛, 陈丽华, 欧阳成, 莫嘉琪 2012 物理学报 61 080204]
[23] Lin W T, Lin Y H, Shi L F, Mo J Q 2013 Acta Phys. Sin. 62 140202 (in Chinese) [林万涛, 林一骅, 石兰芳, 莫嘉琪 2013 物理学报 62 140202]
[24] Lin W T, Zhang Y, Mo J Q 2013 Chin. Phys. B 22 030205
[25] Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method, New York, CRC Press Co
[26] He J H 2002 Approximate Nonlinear Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese)
[27] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems, Basel, Birkhauserm Verlag AG
[28] Taogetusang, Sirendaoerji 2006 Acta Phys. Sin. 55 3246 (in Chinese) [套格图桑, 斯仁道尔吉 2006 物理学报 55 3246]
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[1] Parkes E J 2008 Chaos Solitons Fractals 154
[2] Wang M L 1995 Phys. Lett. A 199 169
[3] Sirendaoreji J S 2003 Phys. Lett. A 309 387
[4] Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527
[5] Yang X D, Ruan H Y, Luo S Y 2007 Commum. Theor. Phys. 48 961
[6] Yang J R, Mao J J 2008 Chin. Phys. B 17 4337
[7] 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]
[8] Ni W M, Wei J C 2006 J. Differ. Equations 221 158
[9] Bartier J P 2006 Asymptotic Anal. 46 325
[10] Libre J, da Silva P R 2007 J. Dyn. Differ. Equations 19 309
[11] Faye L, Frenod, E, Seck D 2011 Discrete Contin. Dyn. Syst. 29 1001
[12] Tian C R, Zhu P 2011 Acta Appl. Math. 121 157
[13] Mo J Q 1989 Science in China Ser A 32 1306
[14] Han X L, Zhao Z J, Cheng R J, Mo J Q 2013 Acta Phys. Sin. 62 110203 (in Chinese) [韩祥临, 赵振江, 程荣军, 莫嘉琪 2013 物理学报 62 110203]
[15] Mo J Q, Wang H 2007 Acta Ecologica Sinica 27 4366
[16] Mo J Q, Zhang W J, He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) [莫嘉琪, 张伟江, 何铭 2007 物理学报 56 1843]
[17] Mo J Q, Zhang W J, Chen X F 2007 Acta Phys. Sin. 56 6169 (in Chinese) [莫嘉琪, 张伟江, 陈贤峰 2007 物理学报 56 6169]
[18] Shi L F, Lin W T, Lin Y H, Mo J Q 2013 Acta Phys. Sin. 62 010203 (in Chinese) [石兰芳, 林万涛, 林一骅, 莫嘉琪 2013 物理学报 62 010203]
[19] Mo J Q, Zhang W J, He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) [莫嘉琪, 张伟江, 何铭 2006 物理学报 55 3233]
[20] Shi L F, Ouyang C, Mo J Q 2012 Acta Phys. Sin. 61 120201 (in Chinese) [石兰芳, 欧阳成, 莫嘉琪 2012 物理学报 61 120201]
[21] Shi L F, Zhou X C, Mo J Q 2013 Acta Phys. Sin. 62 230202
[22] Lin W T, Chen L H, Ouyang C, Mo J Q 2012 Acta Phys. Sin. 61 080204 (in Chinese) [林万涛, 陈丽华, 欧阳成, 莫嘉琪 2012 物理学报 61 080204]
[23] Lin W T, Lin Y H, Shi L F, Mo J Q 2013 Acta Phys. Sin. 62 140202 (in Chinese) [林万涛, 林一骅, 石兰芳, 莫嘉琪 2013 物理学报 62 140202]
[24] Lin W T, Zhang Y, Mo J Q 2013 Chin. Phys. B 22 030205
[25] Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method, New York, CRC Press Co
[26] He J H 2002 Approximate Nonlinear Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese)
[27] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems, Basel, Birkhauserm Verlag AG
[28] Taogetusang, Sirendaoerji 2006 Acta Phys. Sin. 55 3246 (in Chinese) [套格图桑, 斯仁道尔吉 2006 物理学报 55 3246]
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