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A class of (2+1) dimentional disturbed time-delay breaking solitary wave equation is studied. Firstly, the corresponding non-delay breaking equation is considered. The exact solitary wave solution is obtained by using the mapping method with undetermined coefficients. Then, the travelling asymptotic solution of disturbed breaking solitary wave equation is found by using the homotopic mapping and perturbed approximate method.
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Keywords:
- solitary wave /
- travelling solution /
- approximate solution
[1] Ma S H, Qiang J Y, Fang J P 2007 Commun. Theor. Phys. 48 662
[2] Parkes E J 2009 Chaos Solitons Fractals 38 154
[3] Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527
[4] Yang X D, Ruan H Y, Luo S Y 2007 Commum. Theor. Phys. 48 961
[5] Yang J R, Mao J J 2008 Chin. Phys. B 17 4337
[6] Xu Y, Zhang J X, Xu X, Zhou H 2008 Acta. Phys. Sin. 57 4029 (in Chinese) [徐云, 张建峡, 徐霞, 周红 2008 57 4029]
[7] Taogetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese) [套格图桑, 斯仁道尔吉 2009 58 2121]
[8] Yang Z, Ma S H, Fang J P 2011 Acta Phys. Sin. 60 040508 (in Chinese) [杨征, 马松华, 方建平 2011 60 040508]
[9] Lei J, Ma S H, Fang J P 2011 Acta Phys. Sin. 60 050302 (in Chinese) [雷军, 马松华, 方建平 2011 60 050302]
[10] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[11] Mo J Q 2009 Chin. Phys. Lett. 26 060202
[12] Mo J Q 2009 Science in China, Ser. G 59 1007
[13] Mo J Q, Lin Y H, Lin W T 2010 Acta Phys. Sin. 59 6707 (in Chinese) [莫嘉琪, 林一骅, 林万涛 2010 59 6707]
[14] Mo J Q 2010 Commun. Theor. Phys. 53 440
[15] Mo J Q 2010 Chin. Phys. B 18 010203
[16] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[17] Mo J Q 2011 Acta Phys. Sin. 60 020202 (in Chinese) [莫嘉琪 2011 2011 60 020202]
[18] Ouyang C, Lin w t, Cheng R J, Mo J Q 2013 Acta Phys. Sin. 62 960201 (in Chinese) [欧阳成, 林万涛, 程荣军, 莫嘉琪 2013 62 960201]
[19] 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 62 010201]
[20] Shi L F, Mo J Q 2013 Acta. Phys. Sin. 62 040203 (in Chinese) [石兰芳, 莫嘉琪 2013 62 040203]
[21] Lin W T, Zhang Y, Mo J Q 2013 Chin. Phys. B 22 030205
[22] Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method, New York, CRC Press Co..
[23] He J G 2002 Approximate Nonlinear 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] Alain H 1992 Nonlinear Evolution Equations-Global Behavior of Solutions (Berlin Springer-Verlag)
[25] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauser Verlag)
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[1] Ma S H, Qiang J Y, Fang J P 2007 Commun. Theor. Phys. 48 662
[2] Parkes E J 2009 Chaos Solitons Fractals 38 154
[3] Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527
[4] Yang X D, Ruan H Y, Luo S Y 2007 Commum. Theor. Phys. 48 961
[5] Yang J R, Mao J J 2008 Chin. Phys. B 17 4337
[6] Xu Y, Zhang J X, Xu X, Zhou H 2008 Acta. Phys. Sin. 57 4029 (in Chinese) [徐云, 张建峡, 徐霞, 周红 2008 57 4029]
[7] Taogetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese) [套格图桑, 斯仁道尔吉 2009 58 2121]
[8] Yang Z, Ma S H, Fang J P 2011 Acta Phys. Sin. 60 040508 (in Chinese) [杨征, 马松华, 方建平 2011 60 040508]
[9] Lei J, Ma S H, Fang J P 2011 Acta Phys. Sin. 60 050302 (in Chinese) [雷军, 马松华, 方建平 2011 60 050302]
[10] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[11] Mo J Q 2009 Chin. Phys. Lett. 26 060202
[12] Mo J Q 2009 Science in China, Ser. G 59 1007
[13] Mo J Q, Lin Y H, Lin W T 2010 Acta Phys. Sin. 59 6707 (in Chinese) [莫嘉琪, 林一骅, 林万涛 2010 59 6707]
[14] Mo J Q 2010 Commun. Theor. Phys. 53 440
[15] Mo J Q 2010 Chin. Phys. B 18 010203
[16] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[17] Mo J Q 2011 Acta Phys. Sin. 60 020202 (in Chinese) [莫嘉琪 2011 2011 60 020202]
[18] Ouyang C, Lin w t, Cheng R J, Mo J Q 2013 Acta Phys. Sin. 62 960201 (in Chinese) [欧阳成, 林万涛, 程荣军, 莫嘉琪 2013 62 960201]
[19] 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 62 010201]
[20] Shi L F, Mo J Q 2013 Acta. Phys. Sin. 62 040203 (in Chinese) [石兰芳, 莫嘉琪 2013 62 040203]
[21] Lin W T, Zhang Y, Mo J Q 2013 Chin. Phys. B 22 030205
[22] Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method, New York, CRC Press Co..
[23] He J G 2002 Approximate Nonlinear 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] Alain H 1992 Nonlinear Evolution Equations-Global Behavior of Solutions (Berlin Springer-Verlag)
[25] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauser Verlag)
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