| 一类广义BBM方程的紧性与非紧性结构 |
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| 引用本文： | 李楠,谢芝. 一类广义BBM方程的紧性与非紧性结构[J]. 西南师范大学学报(自然科学版), 2011, 36(2) |
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| 作者姓名： | 李楠 谢芝 |
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| 作者单位： | 1. 西南财经大学经济数学学院,成都,610074
2. 西南石油大学油气储运系,四川新都,644000 |
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| 摘 要： | 根据数学变换和微分方程降阶方法,研究了一类Benjamin-Bona-Mahony(BBM)方程,得到了这类方程的紧孤子、孤立子、孤波相似解、周期解和代数行波解,并对各类解的物理结构变化给出了充分条件.
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| 关 键 词： | 非线性方程 紧孤子 孤立子 周期解 高阶 |
Compact and Noncompact Structures for a Generalized BBM Model |
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| LI Nan,XIE Zhi. Compact and Noncompact Structures for a Generalized BBM Model[J]. Journal of southwest china normal university(natural science edition), 2011, 36(2) |
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| Authors: | LI Nan XIE Zhi |
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| Affiliation: | LI Nan1,XIE Zhi21.Department of Applied Mathematics,Southwestern University of Finance and Economics,Chengdu 610074,China,2.Department of Oil and Gas Storage and Transportation,Southwest Petroleum University,Xindu Sichuan 644000 |
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| Abstract: | A mathematical approach based on mathematical transforms and the reduction of order for solving differential equation is developed to investigate a generalized Benjamin,Bona and Mahony(BBM) equation.Various exact travelling wave solutions of the equation,including compactons,solitons,solitary patterns,periodic solutions and algebraic travelling wave solutions,are derived.The sufficient conditions that determine the physical structures of the solutions are identified. |
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| Keywords: | nonlinear equations compactons solitons periodic solutions high order terms |
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