期刊论文

Dai, ZD

英文

中国物理快报：英文版

0256-307X

2007

24

6

1429-1432

10.1088/0256-307X/24/6/001

Supported by the National Natural Science Foundation of China under Grant Nos 10361007 and 10661002, the Yunnan Natural Science Foundation （No 2004A0001M）, and The IMS, CUHK.

本校为其他机构

The spatial--temporal bifurcation for Kadomtsev--Petviashvili (KP) equations is considered. Exact two-soliton solution and doubly periodic solution to the KP-I equation, and two classes of periodic soliton solutions in different directions to KP-II are obtained using the bilinear form, homoclinic test technique and temporal and spatial transformation method, respectively. The equilibrium solution u_0=-1/6, a unique spatial--temporal bifurcation which is periodic bifurcation f...

为 Kadomtsev-Petviashvili (KP ) 方程的空间时间的分叉被考虑。KP-I 方程的准确 two-soliton 答案和二倍地周期的答案，和在到 KP-II 的不同方向的周期的 soliton 解决方案的二个类分别地用双线性的表格，人诊所测试技术和时间、空间的转变方法被获得。平衡答案 u (o)=- 1/6，是为为 KP-II 的 soliton 的 KP-I 和偏斜的周期的分叉的唯一的空间时间的分叉，被调查。