Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2017, Vol. 34 ›› Issue (1): 13-20.doi: 10.3969/j.issn.1005-3085.2017.01.002

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Study of Transfers System for Femtosecond Pulse Laser to Nano Metal Film

FENG Yi-hu1,   SHI Lan-fang2,   MO Jia-qi3   

  1. 1- Department of Electronics and Information Engineering, Bozhou College, Bozhou, Anhui 236800
    2- College of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing, Jiangsu 210044
    3- Department of Mathematics, Anhui Normal University, Wuhu, Anhui 241003
  • Received:2015-06-16 Accepted:2015-11-23 Online:2017-02-15 Published:2017-04-15
  • Supported by:
    The National Natural Science Foundation of China (11202106); the Natural Science Foundation of the Education Department of Anhui Province (KJ2015A347; KJ2015A418; KJ2013B153); the Key Projects of Outstanding Young Talents of Universities of Anhui Province (gxyqZD2016520).

Abstract:

The solution to a class of nonlinear disturbed transfers system for the femtosecond pulse laser to Nano metal film is obtained by using the asymptotic method. The asymptotic behaviors of corresponding solution to this nonlinear system are discussed. Firstly, the outer solution to the reduced problem is solved. Next, a functional is constructed and its generalized variational is calculated, with its variational equivalent to zero. Thus the Lagrange multiplicator is found. Then, a generalized varitational iteration expansion is constructed by using the varitational principle. Therefore, arbitrary times of iteration expansions for the corresponding system can be solved successively. At the same time, the uniform convergence to the related expansion is accounted by using the variational theory of functional analytic. An example is enumerated, and by using the simulation method, the graphs of surface for its solution are given. From the results obtained in this study, it is validated that the solving method for nonlinear disturbed transfers system to Nano metal film can be provided in a simple and valid manner by using the generalized variational iteration. And it also has a general theoretical value and a wide application potential.

Key words: femtosecond pulse, laser, asymptotic analysis

CLC Number: