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(2+1)维时空分数阶Nizhnik-Novikov-Veslov方程的精确行波解及其分支

江林 孙峪怀 张雪 洪韵

江林, 孙峪怀, 张雪, 洪韵. (2+1)维时空分数阶Nizhnik-Novikov-Veslov方程的精确行波解及其分支[J]. 应用数学和力学, 2018, 39(11): 1313-1322. doi: 10.21656/1000-0887.380299
引用本文: 江林, 孙峪怀, 张雪, 洪韵. (2+1)维时空分数阶Nizhnik-Novikov-Veslov方程的精确行波解及其分支[J]. 应用数学和力学, 2018, 39(11): 1313-1322. doi: 10.21656/1000-0887.380299
JIANG Lin, SUN Yuhuai, ZHANG Xue, HONG Yun. Exact Traveling Wave Solutions and Bifurcations of (2+1)-Dimensional Space-Time Fractional-Order Nizhnik-Novikov-Veslov Equations[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1313-1322. doi: 10.21656/1000-0887.380299
Citation: JIANG Lin, SUN Yuhuai, ZHANG Xue, HONG Yun. Exact Traveling Wave Solutions and Bifurcations of (2+1)-Dimensional Space-Time Fractional-Order Nizhnik-Novikov-Veslov Equations[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1313-1322. doi: 10.21656/1000-0887.380299

(2+1)维时空分数阶Nizhnik-Novikov-Veslov方程的精确行波解及其分支

doi: 10.21656/1000-0887.380299
基金项目: 国家自然科学基金(11371267)
详细信息
    作者简介:

    江林(1992—), 男, 硕士生(E-mail: 184196138@qq.com);孙峪怀(1963—), 男, 教授, 博士, 硕士生导师(通讯作者. E-mail: sunyuhuai63@163.com).

  • 中图分类号: O175.29

Exact Traveling Wave Solutions and Bifurcations of (2+1)-Dimensional Space-Time Fractional-Order Nizhnik-Novikov-Veslov Equations

Funds: The National Natural Science Foundation of China(11371267)
  • 摘要: 通过分数阶复杂变换将(2+1)维时空分数阶Nizhnik-Novikov-Veslov方程组转化为一个常微分方程;再利用动力系统分支方法得到系统的Hamilton量和分支相图;并根据相图轨道构建出该方程的孤立波解、爆破波解、周期波解、周期爆破波解;最后讨论了这些解之间的联系.
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出版历程
  • 收稿日期:  2017-12-05
  • 修回日期:  2018-05-13
  • 刊出日期:  2018-11-01

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