| mBBM方程的钟状代数孤立波解 |
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| 引用本文： | 李向正.mBBM方程的钟状代数孤立波解[J].安徽教育学院学报,2011,29(3):1-3. |
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| 作者姓名： | 李向正 |
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| 作者单位： | 河南科技大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金(批准号:10871129); 河南省教育厅自然科学研究计划项目(2011B110013); 河南科技大学科研创新能力培育基金项目(2010CZ0016)资助的课题 |
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| 摘 要： | 本文以连结尖点的同宿轨对应的钟状代数孤波解为研究对象,以修正的Benjamin-Bona-Mahoney（简称mBBM）方程为例,利用平面动力系统知识,分析了其代数孤波解出现的条件,提出了求解的新方法,称之为代数孤波解解法,获得了方程的代数孤波解.以往对这种解的关注很少,因而对这种解及其解法的研究具有一定的创新性。
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| 关 键 词： | 同宿轨 平面动力系统 代数孤立波解 mBBM方程 |
Bell Shape Algebraic Solitary Wave Solutions to mBBM Equation |
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| LI Xiang-zheng.Bell Shape Algebraic Solitary Wave Solutions to mBBM Equation[J].Journal of Anhui Institute of Education,2011,29(3):1-3. |
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| Authors: | LI Xiang-zheng |
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| Institution: | LI Xiang-zheng (College of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471003,China) |
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| Abstract: | The bell shape algebraic solitary wave solutions that correspond to the homoclinic orbit connected to a cusp point were discussed.The modified Benjamin-Bona-Mahoney(mBBM for short) equation was chosen as example.The theory of planar dynamical system was applied to studying the existence conditions of algebraic solitary wave solution.And a new method for solving this type solution was proposed,which was called algebraic solitary wave solution method.In the past this type solution was seldom paid enough atten... |
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| Keywords: | Homoclinic orbit planar dynamic system algebraic solitary wave solutions mBBM equation |
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