摘要
借助符号计算软件,利用简化的Weiss-Tabor-Carnevale(WTC)方法,对广义的(2+1)维破碎孤子方程进行了Painleve检验,并得到了该方程的可积条件.基于多维Bell多项式的相关理论知识,导出了该方程的Hirota双线性形式,并构造出了方程的多孤子解.
By using the Weiss-Tabor-Carnevale （WTC） method and the symbolic computation, the Painlev@ test for a （2＋1）-dimensional breaking soliton equation is applied with the generalized form, and the Painleve integrability condition of this equation is gotten. The Hirota bilinear form of the studied equation in terms of the main properties of the multi-dimensional binary Bell polynomials is obtained, and the soliton solutions are given out.
出处
《应用数学与计算数学学报》
2012年第2期203-213,共11页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金资助项目(10801037)
