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一类二阶非线性奇摄动方程的激波解
引用本文:汤小松.一类二阶非线性奇摄动方程的激波解[J].井冈山学院学报,2008,29(12):12-14.
作者姓名:汤小松
作者单位:井冈山大学数理学院,江西吉安343009
摘    要:利用边界层理论和匹配原理,讨论了一类二阶非线性奇摄动方程的激波问题。分别对区域的两个端点和内部进行了分析,得出了与边界条件相对应的激波位置解的不同表达式。

关 键 词:非线性  奇摄动  边界层  激波  内层

The shock solution for a class of nonlinear singularly perturbed equations of second order
TANG Xiao-song.The shock solution for a class of nonlinear singularly perturbed equations of second order[J].Journal of Jinggangshan University,2008,29(12):12-14.
Authors:TANG Xiao-song
Institution:TANG Xiao-song (School of Mathematics and Physics, Jinggangshan University, Ji'an 343009, China)
Abstract:By using the boundary layer theory and the matching principle, the shock problems for a class of nonlinear singularly perturbed equations of second order are discussed. And by analyzing the extreme and interior points of the interval, the expressions of the shock solutions and the shock locations relating to the boundary conditions are obtained separately.
Keywords:nonlinear equation  singular perturbation  boundary layer  shock  interior layer
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