On the Solitary Wave Solutions to the (2+1)-Dimensional Davey-Stewartson Equations

机译：在（2 + 1） - Dimensional Davey-Stewartson方程中的孤立波解

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In this article, by using the Bernoulli sub-equation, we build the analytical traveling wave solution of the (2+1)-dimensional Davey-Stewartson equation system. First of all, the imaginary (2+1)-dimensional Davey-Stewatson system is transformed into a system of nonlinear differential equations, After getting the resultant equation, the homogeneous method of balance between the highest power and the highest derivative of the ordinary differential equation is authorized and finally the outcomes equations are solved in order to achieve some new analytical solutions. Wolfram Mathematica Package is used for different cases as well as for different values of constants to investigate the solutions of the resulting system of a nonlinear differential equation. The results of this study are shown in 2D and 3D dimensions graphically.

机译：在本文中，通过使用Bernoulli子方程式，我们构建了（2 + 1） - Dimensional Davey-Stewartson公式系统的分析波解决方案。首先，假想（2 + 1） - Dimensional Davey-Stewatson系统被转换为非线性微分方程的系统，在获得所得方程之后，最高功率与常差分最高衍生物之间的均匀平衡方法方程被授权，最后解决了结果方程，以实现一些新的分析解决方案。 Wolfram Mathematica封装用于不同的情况以及常量的不同值，以研究非线性微分方程的所得系统的解。本研究的结果以图形方式显示为2D和3D尺寸。

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《International Conference on Computational Mathematics and Engineering Sciences》|2020年|x 332 pages :|共10页
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Hajar F. Ismael; Hasan Bulut;
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中图分类 TB11-532;
关键词
Bernoulli sub-equation; Davey-Stewatson equations;

机译：Bernoulli子方程;Davey-Stewatss方程;

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1. Full Symmetry Groups and Similar Reductions of a (2+1)-Dimensional Resonant Davey-Stewartson System [J] . HU Xiao-Rui, CHEN Yong, QIAN Long-Jiang 理论物理通讯（英文版） . 2011,第005期
2. Full Symmetry Groups and Similar Reductions of a （2＋1）-Dimensional Resonant Davey-Stewartson System [J] . HU Xiao-Rui, CHEN Yong, QIAN Long-Jiang 理论物理通讯：英文版 . 2011,第005期
3. New Types of Travelling Wave Solutions From （2＋l）-Dimensional Davey-Stewartson Equation [J] . ZHAO, Hong 理论物理通讯：英文版 . 2006,第005期
4. Periodic-wave and semirational solutions for the (2+1)-dimensional Davey-Stewartson equations on the surface water waves of finite depth [J] . ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2020,第2期

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5. Solitary Wave Solution of the Two-Dimensional Regularized Long-Wave and Davey-Stewartson Equations in Fluids and Plasmas [J] . Omar H. El-Kalaawy, Rafat S. Ibrahim Applied Mathematics . 2012,第8期

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6. Solitary wave and shock wave solutions of (1+1)-dimensional perturbed Klein-Gordon,(1+1)-dimensional Kaup-Keperschmidt and (2+1)-dimensional ZK-BBM equations [J] . Muhammad Younis, Safdar Ali Open Engineering . 2015,第1期

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7. On the Solitary Wave Solutions to the (2+1)-Dimensional Davey-Stewartson Equations [C] . Hajar F. Ismael, Hasan Bulut International Conference on Computational Mathematics and Engineering Sciences . 2020

机译：在（2 + 1） - Dimensional Davey-Stewartson方程中的孤立波解
8. New bilinear estimates for quadratic-derivative nonlinear wave equations in 2+1 dimensions [D] . Tanguay, Allison J. 2012

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9. 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

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10. Solitary Wave Solution of the Two-Dimensional Regularized Long-Wave and Davey-Stewartson Equations in Fluids and Plasmas [O] . Omar H. El-Kalaawy, Rafat S. Ibrahim 2012

机译：二维正则化长波和流体和等离子体中的Davey-Stewartson方程的孤波解

On the Solitary Wave Solutions to the (2+1)-Dimensional Davey-Stewartson Equations

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