纳米尺度下热质输运的非线性Klein-Gordon方程
Nonlinear Klein-Gordon equation fot nanoscale heat and mass transport
摘要：
本文提出并求解了纳米尺度下非线性Klein-Gordon热质输运方程。结果表明，对于超短脉冲激光，非线性Klein-Gordon方程可化为非线性d`Alembert方程。得到了超短激光脉冲下d`Alembert方程的隐式解关键词：非线性Klein-Gordon方程，d`Alembert方程，纳米输运
英文摘要：
In this paper nonlinear Klein-Gordon equation for heat and mass transport in nanoscale was proposed and solved. It was shown that for ultra-short laser pulses nonlinear Klein-Gordon equation is reduced to nonlinear d`Alembert equation. The implicit solution of the d`Alembert equation for ultrashort laser pulses was obtained Key words: nonlinear Klein-Gordon equation, d`Alembert equation, nanoscale transport
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