| (2+1)维广义破碎孤子方程的Painlev(?)可积性和多孤子解 |
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| 引用本文： | 张瑜,徐桂琼.(2+1)维广义破碎孤子方程的Painlev(?)可积性和多孤子解[J].应用数学与计算数学学报,2012,26(2):203-213. |
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| 作者姓名： | 张瑜 徐桂琼 |
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| 作者单位： | 1. 上海大学理学院,上海,200444
2. 上海大学管理学院,上海,200444 |
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| 基金项目： | 基金项目:国家自然科学基金资助项目 |
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| 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.
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| 关 键 词： | (2+1)维广义破碎孤子方程 Painlev6分析 Bell多项式 Hirota双线性形式 孤子解 |
Painleve integrability and multi-soliton solutions for （2＋1）-dimensional general breaking soliton equation |
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| ZHANG Yu,XU Gui-qiong.Painleve integrability and multi-soliton solutions for （2＋1）-dimensional general breaking soliton equation[J].Communication on Applied Mathematics and Computation,2012,26(2):203-213. |
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| Authors: | ZHANG Yu XU Gui-qiong |
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| Institution: | 1.College of Sciences,Shanghai University,Shanghai 200444,China; (2.School of Management,Shanghai University, Shanghai 200444,China) |
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| Abstract: | By using the Weiss-Tabor-Carnevale(WTC) method and the symbolic computation,the Painleve 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. |
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| Keywords: | (2+1)-dimensional general breaking soliton equation Painleve analy-sis Bell polynomial Hirota bilinear form soliton solution |
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