Bounded Traveling Waves of the (2+1)-Dimensional Zoomeron Equation

Zhou Yuqian; Cai Shanshan; Liu Qian

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Bounded Traveling Waves of the (2+1)-Dimensional Zoomeron Equation

机译：（2 + 1）维Zoomeron方程的有界行波

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The bifurcation method of dynamical system and numerical simulation method of differential equation are employed to investigate the (2+1)-dimensional Zoomeron equation. We obtain the parameter bifurcation sets that divide the parameter space into different regions which correspond to qualitatively different phase portraits. According to these phase portraits, all bounded traveling waves are identified and simulated, including solitary wave solutions, shock wave solutions, and periodic wave solutions. Furthermore, all exact expressions of these bounded traveling waves are given. Among them, the elliptic function periodic wave solutions are new solutions.

机译：采用动力学系统的分岔方法和微分方程的数值模拟方法研究（2 + 1）维Zoomeron方程。我们获得了参数分歧集，该分歧集将参数空间划分为与质量上不同的相画像相对应的不同区域。根据这些相图，可以识别和模拟所有有界的行波，包括孤立波解，冲击波解和周期波解。此外，给出了这些有界行波的所有精确表达式。其中，椭圆函数周期波解是新的解。

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《Mathematical Problems in Engineering》 |2015年第17期|163597.1-163597.10|共10页
作者
Zhou Yuqian; Cai Shanshan; Liu Qian;
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Chengdu Univ Informat Technol, Sch Appl Math, Chengdu 610225, Sichuan, Peoples R China.;

Chengdu Univ Informat Technol, Sch Appl Math, Chengdu 610225, Sichuan, Peoples R China.;

Southwest Univ Nationalities, Sch Comp Sci & Technol, Chengdu 610041, Sichuan, Peoples R China.;

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专利

1. Symbolic Computation and New Exact Travelling Solutions for the (2+1)-Dimensional Zoomeron Equation [J] . Hua Gao International Journal of Modern Nonlinear Theory and Application . 2014,第2期

机译：（2 + 1）维Zoomeron方程的符号计算和新的精确行进解
2. Traveling Wave Solutions For The (2+1) Dimensional Boussinesq Equation And The Two-Dimensional Burgers Equation By (G'/G)-expansion method [J] . Bin Zheng WSEAS Transactions on Computers . 2010,第4a6期

机译：用（G'/ G）-展开法求解（2 + 1）维Boussinesq方程和二维Burgers方程的行波解
3. Bifurcation and exact solutions for the ( (2+1) )-dimensional conformable time-fractional Zoomeron equation [J] . Li Zhao, Han Tianyong Advances in Difference Equations . 2020,第a期

机译：（（2 + 1 ））的分叉和精确解决方案 - 二维适形时间 - 分数Zoomeron方程
4. Travelling Wave Solutions and Conservation Laws of a Generalized (2+1)-dimensional Burgers-Kadomtsev-Petviashvili Equation [C] . Isaiah Elvis Mhlanga, Chaudry Masood Khalique International Conference of Numerical Analysis and Applied Mathematics . 2017

机译：广义的旅行波解决方案和保护规律 - 二维汉堡 - Kadomtsev-PetviaShvili方程
5. New bilinear estimates for quadratic-derivative nonlinear wave equations in 2+1 dimensions [D] . Tanguay, Allison J. 2012

机译：用于2 + 1维度的二次衍生非线性波方程的新Bilinear估计
6. Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations [O] . Jian-ming Qi, Fu Zhang, Wen-jun Yuan, -1

机译：（2 + 1）维Boiti-Leon-Pempinelli方程的一些新的行波精确解
7. Traveling wave solutions of the (2+1)-dimensional Zoomeron equation and the Burgers equations via the MSE method and the Exp-function method [O] . Khan Kamruzzaman, Ali Akbar M. 2014

机译：（2 + 1）维Zoomeron方程和Burgers方程通过MSE方法和Exp-function方法的行波解

Bounded Traveling Waves of the (2+1)-Dimensional Zoomeron Equation

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