| 准一维单原子晶格非线性振动方程的双周期解 |
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| 引用本文： | 杨丽英.准一维单原子晶格非线性振动方程的双周期解[J].数学的实践与认识,2013,43(1). |
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| 作者姓名： | 杨丽英 |
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| 作者单位： | 内蒙古农业大学 理学院,内蒙古呼和浩特,010018 |
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| 基金项目： | 国家自然科学基金，内蒙古自然科学基金 |
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| 摘 要： | 利用行波变量代换和辅助椭圆方程法,求解了准一维单原子非线性晶格振动方程,得到了新的双周期波形式的椭圆函数解.在极限情形下,不仅可以还原为前人给出的扭结孤子解,同时还给出了一类新的类孤子解.
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| 关 键 词： | 准一维单原子晶格 非线性振动方程 椭圆函数 孤立波 周期波 |
The Douball-Periodical Solutions of Nonlinear Vibration Equation in Quasi-one-dimensional Monoatomic Lattice |
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| YANG Li-ying.The Douball-Periodical Solutions of Nonlinear Vibration Equation in Quasi-one-dimensional Monoatomic Lattice[J].Mathematics in Practice and Theory,2013,43(1). |
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| Authors: | YANG Li-ying |
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| Abstract: | The equations of nonlinear vibration in quasi-one-dimensional monoatomic lattice were solved by virtue of the method of travelling wave transformation and auxiliary elliptic equation.Some new double-periodical solutions in terms of Jaccobi elliptic functions are obtained.When the module of Jaccobi elliptic function tends to zero,these new double-periodical solutions degenerate the kink-solitons and like-solitons of nonlinear vibration equation in quasi-one-dimensional monoatomic lattice. |
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| Keywords: | quasi-one-dimensional monoatomic lattice nonlinear vibration equation elliptic function solitary wave periodical wave |
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