CAJ | 학술논문

通过代换，将基于劳伦兹系统构建的交通流方程组转换成非线性方程，分别利用匹配渐近法和同伦分析法研究非线性交通模型，讨论当参数σ= t n/t v ?1时的新情况，得到非线性方程的两种解析近似解，为分析车头变化情况提供理论依据。
통과대환，장기우로륜자계통구건적교통류방정조전환성비선성방정，분별이용필배점근법화동륜분석법연구비선성교통모형，토론당삼수σ= t n/t v ?1시적신정황，득도비선성방정적량충해석근사해，위분석차두변화정황제공이론의거。
By substitution,the traffic flow equations based on the Lorentz system is transformed into a nonlinear equation.The matching asymptotic and homotopy analysis methods are applied to study the nonlinear traffic model respectively.Then the new case the parameterσ=t n/t v ? 1 is discussed to obtain two kinds of analytical approximate solution of nonlinear equation,which provides a theoretical basis for the analysis of the change of the headstock.