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Lump Solutions and Interaction Phenomenon for (2+1)-Dimensional Sawada-Kotera Equation

机译:(2 + 1)维Sawada-Kotera方程的整体解和相互作用现象

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摘要

In this paper,a class of lump solutions to the (2+1)-dimensional Sawada-Kotera equation is studied by searching for positive quadratic function solutions to the associated bilinear equation.To guarantee rational localization and analyticity of the lumps,some sufficient and necessary conditions are presented on the parameters involved in the solutions.Then,a completely non-elastic interaction between a lump and a stripe of the (2+1)-dimensional SawadaKotera equation is obtained,which shows a lump solution is drowned or swallowed by a stripe soliton.Finally,2-dimensional curves,3-dimensional plots and density plots with particular choices of the involved parameters are presented to show the dynamic characteristics of the obtained lump and interaction solutions.
机译:在本文中,通过寻找相关的双线性方程的正反二次函数解决方案来研究对(2 + 1) - 二维锯片 - kotera方程的一类块状解决方案。为了保证块的合理定位和分析,有些足够的在解决方案中涉及的参数上呈现了必要的条件。然后,获得块和(2 + 1)的条纹之间的完全非弹性相互作用,其显示出块溶液淹没或吞咽提供条纹孤子。最后,提出了具有涉及参数的特定选择的二维曲线,三维图和密度图以显示所获得的块和相互作用解决方案的动态特性。

著录项

  • 来源
    《理论物理通讯(英文版)》 |2017年第5期|473-478|共6页
  • 作者

    Li-Li Huang; Yong Chen;

  • 作者单位

    Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China;

    MOE International Joint Lab of Trustworthy Software, East China Normal University, Shanghai 200062, China;

  • 收录信息 中国科学引文数据库(CSCD);中国科技论文与引文数据库(CSTPCD);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

  • 入库时间 2022-08-19 03:46:00
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