The new solitary solutions of the foam drainage & (2+1) dimensional breaking soliton equations

Emad H. M. Zahran; Maha S. M. Shehat

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The new solitary solutions of the foam drainage & (2+1) dimensional breaking soliton equations

机译：泡沫排水和（2 + 1）维破裂孤子方程的新孤立解

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In this study, the modified extended tanh-function method is handling to obtain many new solitary wave solutions of two important models in nonlinear physics. The first one is the foam drainage equation which is a simple model for describing the flow of liquid through channels and nodes between the bubbles, driven by gravity and capillarity. The second is (2+1)-dimensional breaking soliton equation which describe the interaction of a Riemann wave propagating along the y-axis with along the x-axis. The obtained results are compared with that obtained in previous work.

机译：在这项研究中，改进的扩展正切函数法正在处理以获得非线性物理中两个重要模型的许多新的孤立波解。第一个是泡沫排水方程，这是一个简单的模型，用于描述在重力和毛细作用的驱动下，液体通过气泡之间的通道和节点的流动。第二个是（2 + 1）维破裂孤子方程，它描述了沿y轴和沿x轴传播的黎曼波的相互作用。将获得的结果与以前的工作进行比较。

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《International Journal of Basic and Applied Sciences》 |2018年第3期|共6页
作者
Emad H. M. Zahran; Maha S. M. Shehat;
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中图分类连续性出版物;
关键词
Foam Drainage Equationthe (2+1)-Dimensional Breaking Soliton Equationthe Modified Extended Tanh-Function MethodRicatti EquationTravelling Wave Solution;

机译：泡沫排水方程;（2 + 1）维破裂孤子方程;改进的扩展Tanh函数法;Ricatti方程;行波解;

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1. Abundant different types of exact soliton solution to the (4+1)-dimensional Fokas and(2+1)-dimensional breaking soliton equations [J] . Sachin Kumar, Monika Niwas, M S Osman, 理论物理通讯（英文版） . 2021,第010期

机译：丰富的不同类型的精确孤子解决方案（4 + 1） - 二维Fokas和（2 + 1） - 二维破碎孤子方程
2. Backlund Transformation and Multisoliton Solutions in Terms of Wronskian Determinant for (2+1)-Dimensional Breaking Soliton Equations with Symbolic Computation [J] . Qin B, Tian B, Liu LC, Communications in Theoretical Physics . 2010,第6期

机译：具有符号计算的（2 + 1）维破裂孤子方程的Wronskian行列式逆向变换和多孤子解
3. New multi-soliton solutions of the (2+1)-dimensional breaking soliton equations [J] . Zhang JF., Zheng CL. International Journal of Modern Physics, B. Condensed Matter Physics, Statistical Physics, Applied Physics . 2003,第22a24期

机译：（2 + 1）维破裂孤子方程的新多孤子解
4. New Complex Solutions to (2+1)-dimensional Breaking Soliton Equations [C] . Dong Sheng, Zhuang Zhiru ICCEE 2010;International conference on computer and electrical engineering . 2010

机译：（2 + 1）维破裂孤子方程的新复杂解
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. Analytical multi-soliton solutions of a (2+1)-dimensional breaking soliton equation [O] . Shao-fu Wang -1

机译：（2 + 1）维破裂孤子方程的解析多孤子解
7. The new solitary solutions of the foam drainage (2+1) dimensional breaking soliton equations [O] . Emad H. M. Zahran, Maha S. M. Shehat 2018

机译：泡沫排水的新孤立溶液（2 + 1）尺寸破碎孤子方程

The new solitary solutions of the foam drainage & (2+1) dimensional breaking soliton equations

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