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带有二次非线性项的耦合薛定谔方程组的精确解 被引量：3

Exact Solutions to a Coupled Schrdinger Equations with a Quadratic Nonlinearity
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摘要 通过几个变换,借助于多个辅助方程新的精确解,导出了具有二次非线性项的耦合薛定谔方程组的一些精确解,包括三角函数解,钟状、扭状孤波解以及Weierstrass椭圆函数解. Using several different function transformations, and then by using various solutions of some new differential sub-equations, many new exact solutions of the coupled schrodinger equations with a quadratic nonlinearity are explicitly obtained, which including triangle functions, the king, bell solitary wave envelope and Weierstrass elliptic function.
作者 许丽萍 杨德五 李晓燕
机构地区 河南科技大学理学院 山东交通学院数理系
出处 《西南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2007年第5期27-32,共6页 Journal of Southwest China Normal University(Natural Science Edition)
基金 河南省教育厅自然科学基金资助项目(2006110002) 河南科技大学科研基金资助项目(2006ZY0012006ZY011) 山东交通学院校科研基金资助项目
关键词 具有二次非线性项的耦合薛定谔方程组 变换 辅助方程 精确解 The coupled schrodinger equations with a quadratic nonlinearity transformation sub-equations the exact solutions
分类号 O175.2 [理学—基础数学]
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参考文献15

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二级参考文献16

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共引文献17

同被引文献27

引证文献3

二级引证文献4

西南师范大学学报（自然科学版）
2007年 第5期

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