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首页> 外文期刊>Discrete and continuous dynamical systems▼hSeries S >A STUDY ON LUMP SOLUTIONS TO A (2+1)-DIMENSIONAL COMPLETELY GENERALIZED HIROTA-SATSUMA-ITO EQUATION
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A STUDY ON LUMP SOLUTIONS TO A (2+1)-DIMENSIONAL COMPLETELY GENERALIZED HIROTA-SATSUMA-ITO EQUATION

机译：对（2 + 1）的块状解决方案的研究 - 二维完全推广的Hirota-Satsuma-ITO方程

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摘要

We aim to generalize the (2+1)-dimensional Hirota-Satsuma-Ito (HSI) equation, passing the three-soliton test, to a new one which still has diverse solution structures. We add all second-order derivative terms to the HSI equation but demand the existence of lump solutions. Such lump solutions are formulated in terms of the coefficients, except two, in the resulting generalized HSI equation. As an illustrative example, a special completely generalized HSI equation is given, together with a lump solution, and three 3d-plots and contour plots of the lump solution are made to elucidate the characteristics of the presented lump solutions.
机译：我们的目标是概括（2 + 1）-Dimensional Hirota-Satsuma-ITO（HSI）方程，使三个孤子测试传递给仍然具有不同解决方案结构的新型。我们将所有二阶衍生术语添加到HSI方程，但需求块解决方案的存在。在由此产生的广义HSI方程中，在除两个之外的系数方面配制了这种块解决方案。作为说明性示例，将特殊的完全广义的HSI等式与块解决方案一起给出，并制成三个3D图和块状溶液的轮廓图以阐明所提出的块溶液的特性。

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    YUFENG ZHANG; WEN-XIU MA; JIN-YUN YANG;

  • 作者单位

    School of Mathematics China University of Mining and Technology Xuzhou 221116 Jiangsu China;

    Department of Mathematics Zhejiang Normal University Jinhua 321004 Zhejiang China Department of Mathematics King Abdulaziz University Jeddah Saudi Arabia Department of Mathematics and Statistics University of South Florida Tampa FL 33620 USA School of Mathematics South China University of Technology Guangzhou 510640 China College of Mathematics and Systems Science Shandong University of Science and Technology Qingdao 266590 Shandong China International Institute for Symmetry Analysis and Mathematical Modelling Department of Mathematical Sciences North-West University Mafikeng Campus Mmabatho 2735 South Africa;

    School of Mathematics and Physical Science Xuzhou Institute of Technology Xuzhou 221008 Jiangsu China;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Symbolic computation; lump solution; interaction solution;

    机译：象征性计算;块解决方案;互动解决方案;

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