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A class of nonlinear solitary waves in dusty plasma is considered. Firstly, a non-disturbed solitary wave solution is stated. Then the iteration is constructed by using the homotopic mapping, and the traveling wave solution of the nonlinear single-disturbed solitary waves in dusty plasma is obtained. Finally, every degree of approximate solutions for corresponding single solitary wave model can be found.
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Keywords:
- dusty plasma /
- homotopic mapping /
- traveling wave
[1] Rao N N, Shukla P K, Yu M Y 1990 Planet. Space Sci. 38 543
[2] Shukla P K, Silin V P 1992 Phys. Script. 45 508
[3] Chen J H, Duan W S 2007 Phys. Plasmas 14 083702
[4] Duan W S, Shi Y R 2003 Chaos, Solitons Fract. 18 321
[5] Duan W S, Parkes J L, Li M M 2005 Phys. Plasmas 12 022106
[6] Meuris P 1997 Planet Space Sci. 45 449
[7] Han J N, Yang X X, Tiao T X, Duan W S 2008 Phys, Lett. A 372 4817
[8] Li S C, Han J N, Duan W S 2009 Physica B 404 1235
[9] Han J N, Du S L, Duan W S 2008 Phys. Plasmas 15 112104
[10] Yang X X, Duan W S, Han J N, Li S C 2008 Chin Phys. B 17 2985
[11] Han X L, Zhao Z Jm Cheng R J, Mo J Q 2013 Acta Phys. Sin. 62 040203 (in Chinese) [韩祥临, 赵振江, 程荣军, 莫嘉琪 2013 物理学报 62 040203]
[12] Han X L, Du Z J Mo J Q 2012 Acta Phys. Sin. 61 200208 (in Chinese) [韩祥临, 杜增吉, 莫嘉琪 2012 物理学报, 61 200208]
[13] Ouyang C, Cheng L H, Mo J Q 2012 Chin. Phys. B 215 050203
[14] Ouyang C, Lin W T, Cheng R J, Mo J Q 2013 Acta Phys. Sin. 62 060201 (in Chinese) [欧阳成, 林万涛, 程荣军, 莫嘉琪 2013 物理学报 62 060201]
[15] Yao J S, Lin W T, Du Z J, Mo J Q 2012 Chinese Physics B 21 120205
[16] Shi L F, Mo J Q 2013 Acta Phys. Sin. 62 040203
[17] 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]
[18] Shi L F, Zhou X C, Mo J Q 2013 Acta Phys. Sin. 62 230202 (in Chinese) [石兰芳, 周先春, 莫嘉琪 2013 物理学报 62 230202]
[19] Mo J Q 2010 Chin. Phys. B 19 010203
[20] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[21] Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 070205
[22] Liao S J 2004 Beyond Pertur b ation: Introduction to the Homotopy Analysis Method (New York: CRC Press Co.)
[23] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou: 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)]
[24] Zhong S R 2010 Acta Phys. Sin. 59 2178 (in Chinese) [仲生仁 2010 物理学报 59 2178]
[25] de Jager, E M, Jiang Furu 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co.)
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[1] Rao N N, Shukla P K, Yu M Y 1990 Planet. Space Sci. 38 543
[2] Shukla P K, Silin V P 1992 Phys. Script. 45 508
[3] Chen J H, Duan W S 2007 Phys. Plasmas 14 083702
[4] Duan W S, Shi Y R 2003 Chaos, Solitons Fract. 18 321
[5] Duan W S, Parkes J L, Li M M 2005 Phys. Plasmas 12 022106
[6] Meuris P 1997 Planet Space Sci. 45 449
[7] Han J N, Yang X X, Tiao T X, Duan W S 2008 Phys, Lett. A 372 4817
[8] Li S C, Han J N, Duan W S 2009 Physica B 404 1235
[9] Han J N, Du S L, Duan W S 2008 Phys. Plasmas 15 112104
[10] Yang X X, Duan W S, Han J N, Li S C 2008 Chin Phys. B 17 2985
[11] Han X L, Zhao Z Jm Cheng R J, Mo J Q 2013 Acta Phys. Sin. 62 040203 (in Chinese) [韩祥临, 赵振江, 程荣军, 莫嘉琪 2013 物理学报 62 040203]
[12] Han X L, Du Z J Mo J Q 2012 Acta Phys. Sin. 61 200208 (in Chinese) [韩祥临, 杜增吉, 莫嘉琪 2012 物理学报, 61 200208]
[13] Ouyang C, Cheng L H, Mo J Q 2012 Chin. Phys. B 215 050203
[14] Ouyang C, Lin W T, Cheng R J, Mo J Q 2013 Acta Phys. Sin. 62 060201 (in Chinese) [欧阳成, 林万涛, 程荣军, 莫嘉琪 2013 物理学报 62 060201]
[15] Yao J S, Lin W T, Du Z J, Mo J Q 2012 Chinese Physics B 21 120205
[16] Shi L F, Mo J Q 2013 Acta Phys. Sin. 62 040203
[17] 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]
[18] Shi L F, Zhou X C, Mo J Q 2013 Acta Phys. Sin. 62 230202 (in Chinese) [石兰芳, 周先春, 莫嘉琪 2013 物理学报 62 230202]
[19] Mo J Q 2010 Chin. Phys. B 19 010203
[20] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[21] Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 070205
[22] Liao S J 2004 Beyond Pertur b ation: Introduction to the Homotopy Analysis Method (New York: CRC Press Co.)
[23] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou: 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)]
[24] Zhong S R 2010 Acta Phys. Sin. 59 2178 (in Chinese) [仲生仁 2010 物理学报 59 2178]
[25] de Jager, E M, Jiang Furu 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co.)
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