Wave propagation for the nonlinear modified Kortewege-de Vries Zakharov-Kuznetsov and extended Zakharov-Kuznetsov dynamical equations arising in nonlinear wave media

Aly R. Seadawy; M. lqbal; Saad Althobaiti; Samy Sayed

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Wave propagation for the nonlinear modified Kortewege-de Vries Zakharov-Kuznetsov and extended Zakharov-Kuznetsov dynamical equations arising in nonlinear wave media

机译：非线性修改Kortewege-de VRIES Zakharov-Kuznetsov的波传播和非线性波介质中产生的Zakharov-Kuznetsov动态方程

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In this study, we construct the new solitary wave solutions for two well known nonlinear wave equations whose describe the wave propagation in nonlinear media. We implemented a new technique which is extension of modified rational expansion method on nonlinear three-dim modified Kortewege-de Vries Zakharov-Kuznetsov and extended Zakharov-Kuznetsov equations. The new results are elliptic, hyperbolic, trigonometric, rational type which are representing to solitary waves, periodic waves, traveling waves, kink-antikink solitons, dark-bright solitons. The physical behavior of some calculated results represented graphical by using the software Mathematica. The determined results are new, more general and have numerous applications in the area of nonlinear sciences including nonlinear plasma, fiber optics, mechanics, quantum physics, laser physics, fluid physics, engineering and other types of physical sciences. The demonstrated results show that new technique is efficient, fruitful, powerful and reliable to study analytically different types of higher order complex NLPDEs arises in various types of applied sciences.

机译：在这项研究中，我们为两个众所周知的非线性波方程构建了新的孤立波解，其描述了非线性介质中的波传播。我们实施了一种新技术，该技术是在非线性三维修改的kortewege-de Vries Zakharov-Kuznetsov和扩展Zakharov-Kuznetsov方程上的修改合理扩展方法的扩展。新结果是椭圆形，双曲线，三角性，合理类型，其代表孤立波，周期性波，行驶波，扭结的孤子，深色孤子。一些计算结果的物理行为通过使用软件Mathematica表示图形。所确定的结果是新的，更一般性，并且在非线性科学领域具有许多应用，包括非线性等离子体，光纤，力学，量子物理，激光物理，流体物理，工程和其他类型的物理科学。所证明的结果表明，研究新技术是有效，丰富的，强大可靠，研究了各种类型的应用科学中出现的分析不同类型的高阶综合性NLPE。

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《Optical and quantum electronics》 |2021年第2期|85.1-85.20|共20页
作者
Aly R. Seadawy; M. lqbal; Saad Althobaiti; Samy Sayed;
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作者单位

Department of Mathematics Faculty of Science Taibah University Al-Madinah Al-Munawarah Saudi Arabia;

Faculty of Science Jiangsu University Zhenjiang 212013 Jiangsu People's Republic of China;

Technology and Science Department Ranyah University College Taif University P.O. Box 11099 Taif 21944 Saudi Arabia;

Technology and Science Department Ranyah University College Taif University P.O. Box 11099 Taif 21944 Saudi Arabia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
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关键词
Extension of modified rational expansion method; Three-dim modified Kortewege-de Vries Zakharov-Kuznetsov equation; Three-dim extended Zakharov-Kuznetsov equation; Traveling wave solutions; Solitary wave solutions;

机译：改进的合理膨胀方法的延伸;三维改装kortwege-de Vries Zakharov-Kuznetsov方程式;三分延长扎克哈罗夫 - 库兹涅佐夫方程式;旅行波解决方案;孤立波解决方案;

Wave propagation for the nonlinear modified Kortewege-de Vries Zakharov-Kuznetsov and extended Zakharov-Kuznetsov dynamical equations arising in nonlinear wave media

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