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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
【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.
【Abstract】 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】 Liénard方程;
Kundu方程;
非线性波方程;
PC方程;
孤波解;
【Key words】 Liénard equation; Kundu equation; nonlinear wave equation; PC equation; solitary wave solution;
【Key words】 Liénard equation; Kundu equation; nonlinear wave equation; PC equation; solitary wave solution;
- 【文献出处】 应用数学学报 ,ACTA MATHEMATICAE APPLICATAE SINICA , 编辑部邮箱 ,1998年02期
- 【分类号】O175
- 【被引频次】33
- 【下载频次】144