一类耦合KGZ方程组的精确显式行波解  

Exact Explicit Travelling Wave Solutions of the Coupled Klein-Gordon-Zakharov Equations

作　　者：杨卫东[1] 邓习军[1] 

机构地区：[1]长江大学信息与数学学院,湖北荆州434023

出　　处：《长江大学学报（自科版）（上旬）》2007年第4期25-26,28,共3页JOURNAL OF YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION) SCI ＆ ENG

摘　　要：利用动力系统方法研究一类耦合Klein-Gordon-Zakharov方程组的行波解,得到了其孤立波与周期波解的精确显式表达式,并且给出了上述解存在的明显参数条件。研究表明,动力系统理论是求解各类复杂非线性演化方程行波解的一个非常行之有效的方法。By applying the theory of dynamical systems,the coupled Klein-Gordon Zakharov equations are studied and its exact explicit,parametric representations of the solitary and periodic wave solutions are obtained.Further,the parametric conditions that guarantee the existence of the above solutions are given.The result shows that the theory of dynamic system is one of the effective ways for solving the complex nonlinear evolutional solutions.

关 键 词：Klein-Gordon-Zakharov方程组 孤立波解 周期波解 参数条件 

分 类 号：O175.2[理学—数学]