FENG Yi-hu, CHEN Huai-jun, MO Jia-qi. Solutions to the Gain Flux Coupling System of Laser Pulse Amplifiers[J]. Applied Mathematics and Mechanics, 2017, 38(7): 837-844. doi: 10.21656/1000-0887.370208
 Citation: FENG Yi-hu, CHEN Huai-jun, MO Jia-qi. Solutions to the Gain Flux Coupling System of Laser Pulse Amplifiers[J]. Applied Mathematics and Mechanics, 2017, 38(7): 837-844.

# Solutions to the Gain Flux Coupling System of Laser Pulse Amplifiers

##### doi: 10.21656/1000-0887.370208
Funds:  The National Natural Science Foundation of China(41275062;11202106)
• Rev Recd Date: 2016-12-01
• Publish Date: 2017-07-15
• The solutions to the gain flux coupling system of laser pulse amplifiers were studied. Firstly, the system of the general model was discussed; secondly, the homotopic mapping was used and an artificial parameter was introduced with the property of the mapping, to transform the nonlinear problem to a series of linear problems, which were solved one by one. Then the approximate expressions of the solutions to the corresponding model were obtained. The expansion of solutions with the homotopic mapping method is analytic, where the analytic operations of the functions are kept and the approximate solutions are expressed with elementary functions, which are different from the numrically computed discrete solutions and can be further analytically computed. Thus the differential and integral operations can be implemented to obtain other physical behaviors of the gain flux for laser pulse amplifiers.
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