摘要
用平衡法并结合吴消元法得到了一类较广泛非线性波动方程ｕｔｔ－ａ１ｕｘｘ＋ａ２ｕｔ＋ａ３ｕ＋ａ４ｕ３＝０的若干孤波解公式，从而物理学上许多著名的方程，如４方程、ＫｌｅｉｎＧｏｒｄｏｎ方程、ＬａｎｄａｕＧｉｎｚｂｕｒｇＨｉｇｇｓ方程。
Abstract Some solitary wave solutions for a class of nonlinear wave equations u tt -a 1u xx +a 2u t+a 3u+a 4u 3=0 are obtained by homogeneous balance method and Wu eliminition method. Many well known equations in physics such as 4 equation, Klein Gordon equation, Duffing equation and telegraph equation are special cases of the wave equation presented in this paper.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1997年第7期1254-1258,共5页
Acta Physica Sinica
基金
国家自然科学基金
国家攀登计划基金
