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应用全新G′/(G+G′)展开方法求解广义非线性Schrödinger方程和耦合非线性Schrödinger方程组

石兰芳 聂子文

石兰芳, 聂子文. 应用全新G′/(G+G′)展开方法求解广义非线性Schrödinger方程和耦合非线性Schrödinger方程组[J]. 应用数学和力学, 2017, 38(5): 539-552. doi: 10.21656/1000-0887.370269
引用本文: 石兰芳, 聂子文. 应用全新G′/(G+G′)展开方法求解广义非线性Schrödinger方程和耦合非线性Schrödinger方程组[J]. 应用数学和力学, 2017, 38(5): 539-552. doi: 10.21656/1000-0887.370269
SHI Lan-fang, NIE Zi-wen. Solutions to the Nonlinear Schrödinger Equation and Coupled Nonlinear Schrödinger Equations With a New G′/(G+G′)-Expansion Method[J]. Applied Mathematics and Mechanics, 2017, 38(5): 539-552. doi: 10.21656/1000-0887.370269
Citation: SHI Lan-fang, NIE Zi-wen. Solutions to the Nonlinear Schrödinger Equation and Coupled Nonlinear Schrödinger Equations With a New G′/(G+G′)-Expansion Method[J]. Applied Mathematics and Mechanics, 2017, 38(5): 539-552. doi: 10.21656/1000-0887.370269

应用全新G′/(G+G′)展开方法求解广义非线性Schrödinger方程和耦合非线性Schrödinger方程组

doi: 10.21656/1000-0887.370269
基金项目: 国家自然科学基金(11202106;61201444);教育部高等学校博士学科点专项科研基金(20123228120005) ;江苏省“信息与通信工程”优势学科建设基金;江苏省自然科学基金(BK20131005);江苏省青蓝工程和江苏省高校自然科学研究基金(13KJB170016)
详细信息
    作者简介:

    石兰芳(1976—),女,副教授,博士,硕士生导师(通讯作者. E-mail: shilf108@163.com);聂子文(1993—),男,硕士生(E-mail: niezw109@163.com).

  • 中图分类号: O175.29

Solutions to the Nonlinear Schrödinger Equation and Coupled Nonlinear Schrödinger Equations With a New G′/(G+G′)-Expansion Method

Funds: The National Natural Science Foundation of China(11202106; 61201444)
  • 摘要: 研究了一种全新的G′/(G+G′)展开方法,并应用这种方法讨论了广义非线性Schrödinger方程和一类耦合非线性Schrödinger方程组新形式的精确解,包括双曲余切函数解、余切函数解和有理函数解.全新G′/(G+G′)展开方法不但直接而有效地求出方程的新精确解,而且扩大了解的范围,这种新方法对于研究偏微分方程具有广泛的应用意义.
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出版历程
  • 收稿日期:  2016-09-05
  • 修回日期:  2017-03-21
  • 刊出日期:  2017-05-15

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