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A class of transfer model for femtosecond pulse laser nano metal film is investigated. Firstly, the exact solution of a typical model is obtained. And then, the arbitrary order approximate analytic solution of corresponding model is obtained by using the functional homotopic mapping method. Finally, the meaning of solution is discussed.
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Keywords:
- pulse /
- nano metal /
- transmission
[1] Anisimov S, Kapeliovich B, Perelman T 1974 Sov. Phys. JETP 39 375
[2] Eesley G L 1983 Phys. Rev. Lett. 51 2140
[3] Qiu T Q, Tien C L 1993 J. Heat Transf. Trans. ASME 115 835
[4] Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华, 方建平 2006 55 5611]
[5] Ma W G, Wang H D, Zhang X, Wang W 2011 Acta Phys. Sin. 60 064401 (in Chinese) [马维刚, 王海东, 张兴, 王玮 2011 60 064401]
[6] de Jager E M, Jiang Furu 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co)
[7] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problem (Basel: Birkhauserm Verlag AG)
[8] Xie F 2012 J. Differ. Equations 252 2370
[9] Lin W T, Zhang Y, Mo J Q 2013 Chin. Phys. B 22 030205
[10] Lin W T, Lin Y H, Mo J Q 2012 Chin. Phys. B 21 010204
[11] Mo J Q 1989 Sci. China A 32 1306
[12] Mo J Q 2009 Sci. China G 52 1007
[13] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[14] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[15] Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method, (New York: CRC Press Co.)
[16] 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)]
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[1] Anisimov S, Kapeliovich B, Perelman T 1974 Sov. Phys. JETP 39 375
[2] Eesley G L 1983 Phys. Rev. Lett. 51 2140
[3] Qiu T Q, Tien C L 1993 J. Heat Transf. Trans. ASME 115 835
[4] Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华, 方建平 2006 55 5611]
[5] Ma W G, Wang H D, Zhang X, Wang W 2011 Acta Phys. Sin. 60 064401 (in Chinese) [马维刚, 王海东, 张兴, 王玮 2011 60 064401]
[6] de Jager E M, Jiang Furu 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co)
[7] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problem (Basel: Birkhauserm Verlag AG)
[8] Xie F 2012 J. Differ. Equations 252 2370
[9] Lin W T, Zhang Y, Mo J Q 2013 Chin. Phys. B 22 030205
[10] Lin W T, Lin Y H, Mo J Q 2012 Chin. Phys. B 21 010204
[11] Mo J Q 1989 Sci. China A 32 1306
[12] Mo J Q 2009 Sci. China G 52 1007
[13] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[14] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[15] Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method, (New York: CRC Press Co.)
[16] 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)]
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