几类具5次强非线性项的发展方程的显式精确孤波解  

EXPLICIT EXACT SOLITARY WAVE SOLUTIONS FOR SEVERAL CLASSES OF EVOLUTION EQUATION WITH FIVE ORDER STRONGER NONLINEAR TERM

作　　者：张卫国[1] 

机构地区：[1]长沙铁道学院数理力学系,长沙410075

出　　处：《应用数学学报》1998年第2期249-256,共8页Acta Mathematicae Applicatae Sinica

摘　　要：本文首先求出了具5次强非线性项的Lienard方程的二类显式精确解．据此求出了导数Schrodinger方程的新孤波解，Kundu方程型如u（x，t）＝e－iwteiψ（x－vt）a（x-υ）的二类显式精确孤波解，力学中重要的具5次强非线性项的波方程和广义PC方程的二类显式精确孤波解．In this paper, first we obtain two kinds of explicit exact solutions for the Lienard equation. By means of these solutions, we obtain a kind of new explicit exact solitary wave solutions for the nonlinear derivative Schrodinger equation, two kinds of explicit exact solitary wave solutions for the Kundu equation, the nonlinear wave equation utt-kuxx+pn + qu3 + su5 = 0, and the generalized PC equation utt-uttxx-(a1u + a3u3 + a5u5)xx = 0.

关 键 词：发展方程 非线性波方程 林纳方程 孤波解 

分 类 号：O241.82[理学—计算数学]