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变系数(3+1)维ZK方程的变速孤立波解
引用本文:杨红娟,吕克璞,段文山,石玉仁. 变系数(3+1)维ZK方程的变速孤立波解[J]. 西北师范大学学报(自然科学版), 2007, 43(2): 38-40
作者姓名:杨红娟  吕克璞  段文山  石玉仁
作者单位:西北师范大学物理与电子工程学院,甘肃兰州730070
摘    要:利用WTC方法讨论了含有3个任意变系数的Zakharov-Kuznetsov(ZK)方程的精确解,得到了1组精确孤立波解.结果表明,方程的系数不改变波的振幅,但改变波的传播速度.

关 键 词:WTC方法  ZK方程  精确解  孤立波解
文章编号:1001-988X(2007)02-0038-03
修稿时间:2006-02-012006-05-16

The solitary wave solutions with varying velocity for the (3+1)-dimensional variable-coefficients ZK equation
YANG Hong-juan,L Ke-pu,DUAN Wen-shan,SHI Yu-ren. The solitary wave solutions with varying velocity for the (3+1)-dimensional variable-coefficients ZK equation[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2007, 43(2): 38-40
Authors:YANG Hong-juan  L Ke-pu  DUAN Wen-shan  SHI Yu-ren
Affiliation:College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, Gansu, China
Abstract:A class of exact solitary wave solutions for the(3 1)-dimensional Zakharov-Kuznetsov(ZK) equation which contains three arbitrary variable coefficients are obtained by using the WTC method.The results indicate that the coefficients of the equation will not change the wave amplitude,but change the wave velocity.
Keywords:WTC method   ZK equation   exact solution   solitary wave solution
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