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A class of transfer models for femtosecond pulse laser on nano metal film has been investigated. First, we solve the reduced solution. And then, the arbitrary order asymptotic solution of corresponding model is obtained by using the perturbation theory and method. Finally, the behavior of the solution is discussed.
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Keywords:
- femtosecond pulse /
- laser /
- asymptotic behavior
[1] Xin Z L, Fan Z X, Shao J D 2006 Acta Phys. Sin. 55 3007 (in Chinese) [夏志林, 范正修, 邵建达 2006 物理学报 55 3007]
[2] Eesley G L 1983 Phys. Rev. Lett. 51 2140
[3] Qpu T Q, Tien C L 1993 J. Heat Transf. Trans. ASME 115 835
[4] Xiong G C, Zou Y H, Xin Z J, Yuan P, Lian G J, Li J 1994 Acta Phys. Sin. 43 1860 (in Chinese) [熊光成, 邹英华, 夏宗炬, 袁平, 连贵君, 李洁 1993 物理学报 43 1860]
[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 物理学报 60 064401]
[6] Zhu L D, Sun F Y, Zhu J, Tang D W 2012 Acta Phys. Sin. 61 130512 (in Chinese) [朱丽丹, 孙方远, 祝捷, 唐大伟 2012 物理学报 61 130512]
[7] de Jager E M Jiang Furu 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co)
[8] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problem (Basel: Birkhauserm Verlag AG)
[9] D'Aprile T, Pistoia A 2010 J. Differ. Eqns. 248 556
[10] Ei, Shin-Ichiro, Matsuzawa H 2010 Discrete Contin. Dyn. Syst. 26 910
[11] Suzuki R 2010 Adv. Differ. Eqns. 15 283
[12] Deng S B 2012 J. Differ. Equations 253 727
[13] Mo J Q 1989 Science in China Ser A 32 1306
[14] Mo J Q 2008 J. Sys. Sci. & Complex 20 119
[15] Mo J Q 2009 Science in China Ser. G 52 1007
[16] Mo J Q 2009 Chin. Phys. Let. 26 010204
[17] Mo J Q 2010 Commun. Theor. Phys. 53 440
[18] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
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[1] Xin Z L, Fan Z X, Shao J D 2006 Acta Phys. Sin. 55 3007 (in Chinese) [夏志林, 范正修, 邵建达 2006 物理学报 55 3007]
[2] Eesley G L 1983 Phys. Rev. Lett. 51 2140
[3] Qpu T Q, Tien C L 1993 J. Heat Transf. Trans. ASME 115 835
[4] Xiong G C, Zou Y H, Xin Z J, Yuan P, Lian G J, Li J 1994 Acta Phys. Sin. 43 1860 (in Chinese) [熊光成, 邹英华, 夏宗炬, 袁平, 连贵君, 李洁 1993 物理学报 43 1860]
[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 物理学报 60 064401]
[6] Zhu L D, Sun F Y, Zhu J, Tang D W 2012 Acta Phys. Sin. 61 130512 (in Chinese) [朱丽丹, 孙方远, 祝捷, 唐大伟 2012 物理学报 61 130512]
[7] de Jager E M Jiang Furu 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co)
[8] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problem (Basel: Birkhauserm Verlag AG)
[9] D'Aprile T, Pistoia A 2010 J. Differ. Eqns. 248 556
[10] Ei, Shin-Ichiro, Matsuzawa H 2010 Discrete Contin. Dyn. Syst. 26 910
[11] Suzuki R 2010 Adv. Differ. Eqns. 15 283
[12] Deng S B 2012 J. Differ. Equations 253 727
[13] Mo J Q 1989 Science in China Ser A 32 1306
[14] Mo J Q 2008 J. Sys. Sci. & Complex 20 119
[15] Mo J Q 2009 Science in China Ser. G 52 1007
[16] Mo J Q 2009 Chin. Phys. Let. 26 010204
[17] Mo J Q 2010 Commun. Theor. Phys. 53 440
[18] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
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