摘要
改进了Hereman提出的构造非线性发展方程孤波解的混合指数方法 ,通过将非线性发展方程孤波解的表示形式推广到实指数解或复指数解的无穷级数 ,得到了扩展的混合指数方法 .以正则长波方程为例 ,说明通过扩展的混合指数方法可获得包括正则孤波解、奇异孤波解及周期解在内的诸多精确解 .
Mixing exponential method proposed by Hereman for finding the solitary wave solutions to a nonlinear evolution equation is developed and perfected. Correspondingly, an extended mixing exponential method is obtained by expressing the solutions as an infinite series of the real or complex exponential solutions of the underlying linear equations. The effectiveness of the extended approach is demonstrated by application to the well-known regular long wave equation with physical interest. Not only are steady solitary wave solutions recovered, but also the diverging and the periodic solutions are obtained.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2002年第7期1424-1427,共4页
Acta Physica Sinica
基金
国家重点基础研究发展规划 (批准号 :G19980 3 0 60 0 )
上海市曙光计划资助的课题
