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双模耦合KdV方程的多孤子解与精确解

赵倩 白喜瑞

赵倩, 白喜瑞. 双模耦合KdV方程的多孤子解与精确解[J]. 华东师范大学学报(自然科学版), 2019, (4): 42-51. doi: 10.3969/j.issn.1000-5641.2019.04.005
引用本文: 赵倩, 白喜瑞. 双模耦合KdV方程的多孤子解与精确解[J]. 华东师范大学学报(自然科学版), 2019, (4): 42-51. doi: 10.3969/j.issn.1000-5641.2019.04.005
ZHAO Qian, BAI Xi-rui. Two-mode coupled KdV equation: Multiple-soliton solutions and other exact solutions[J]. Journal of East China Normal University (Natural Sciences), 2019, (4): 42-51. doi: 10.3969/j.issn.1000-5641.2019.04.005
Citation: ZHAO Qian, BAI Xi-rui. Two-mode coupled KdV equation: Multiple-soliton solutions and other exact solutions[J]. Journal of East China Normal University (Natural Sciences), 2019, (4): 42-51. doi: 10.3969/j.issn.1000-5641.2019.04.005

双模耦合KdV方程的多孤子解与精确解

doi: 10.3969/j.issn.1000-5641.2019.04.005
基金项目: 

国家自然科学基金 11471174

宁波市自然科学基金 2014A610018

详细信息
    作者简介:

    赵倩, 女, 硕士研究生, 研究方向为非线性数学物理.E-mail:15058429092@163.com

    白喜瑞, 女, 硕士研究生, 研究方向为偏微分方程.E-mail:15729216969@163.com

  • 中图分类号: O178

Two-mode coupled KdV equation: Multiple-soliton solutions and other exact solutions

  • 摘要: 根据简化的Hirota双线性方法和Cole-Hopf变换,当一个新的双模耦合KdV方程中的非线性参数与耗散参数取特殊值时,得到了该新的双模耦合KdV方程的多孤子解.同时,当方程中的非线性参数与耗散参数取一般值时,通过不同的函数展开法,如tanh/coth法和Jacobi椭圆函数法,可得到这个方程的其他精确解.
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出版历程
  • 收稿日期:  2018-06-28
  • 刊出日期:  2019-07-25

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