安徽大学学报（自然科学版）
安徽大學學報（自然科學版）
안휘대학학보（자연과학판）
JOURNAL OF ANHUI UNIVERSITY(NATURAL SCIENCES EDITION)
2014年
4期
37-44
,共8页
尖峰孤子解%Lienard方程%非线性波方程%非线性Schr?dinger方程%Kundu方程
尖峰孤子解%Lienard方程%非線性波方程%非線性Schr?dinger方程%Kundu方程
첨봉고자해%Lienard방정%비선성파방정%비선성Schr?dinger방정%Kundu방정
peakon solutions%Lienard equation%nonlinear wave equation%nonlinear Schr?dinger equation%Kundu equation
运用积分法和待定系数法求出含5次强非线性项的 Lienard 方程的几类尖峰孤子解，并据此求出力学中具5次非线性项的波动方程、导数非线性 Schr?dinger 方程和 Kundu 方程的尖峰孤子解。该文方法也适用于求 Ablowitz 方程、Gerdjikov-Ivanov 方程、广义 PC 方程、广义导数非线性 Schr?dinger 方程及含有3次非线性项波动方程的尖峰孤子解。
運用積分法和待定繫數法求齣含5次彊非線性項的 Lienard 方程的幾類尖峰孤子解，併據此求齣力學中具5次非線性項的波動方程、導數非線性 Schr?dinger 方程和 Kundu 方程的尖峰孤子解。該文方法也適用于求 Ablowitz 方程、Gerdjikov-Ivanov 方程、廣義 PC 方程、廣義導數非線性 Schr?dinger 方程及含有3次非線性項波動方程的尖峰孤子解。
운용적분법화대정계수법구출함5차강비선성항적 Lienard 방정적궤류첨봉고자해，병거차구출역학중구5차비선성항적파동방정、도수비선성 Schr?dinger 방정화 Kundu 방정적첨봉고자해。해문방법야괄용우구 Ablowitz 방정、Gerdjikov-Ivanov 방정、엄의 PC 방정、엄의도수비선성 Schr?dinger 방정급함유3차비선성항파동방정적첨봉고자해。
Several kinds of peakon solutions for Lienard equation were obtained by means of the integration and the undetermined coefficient method, based on which the peakon solutions for wave equation with fifth - order nonlinear term, derivative nonlinear Schr?dinger equation and Kundu equation were obtained. The method used in this paper could also be used for solving many other nonlinear equations such as Ablowitz equation,Gerdjikov-Ivanov equation,generalized PC equation, generalized derivative nonlinear Schr?dinger equation and wave equation with third-order nonlinear term.
