New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation

IF 2.6 4区数学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY

Mathematical Modelling of Natural Phenomena Pub Date : 2021-01-06 DOI:10.1051/MMNP/2021001

H. Rezazadeh, M. Younis, Shafqat-ur-Rehman, M. Eslami, M. Bilal, U. Younas

引用次数: 34

Abstract

In this research work, we successfully construct various kinds of exact traveling wave solutions such as trigonometric like, singular and periodic wave solutions as well as hyperbolic solutions to the (2+1)-dimensional Chiral nonlinear Schröginger equation (CNLSE) which is used as a governing equation to discuss the wave in the quantum field theory. The mechanisms which are used to obtain these solutions are extended rational sine-cosine/sinh-cosh and the constraint conditions for the existence of valid solutions are also given. The attained results exhibit that the proposed techniques are a significant addition for exploring several types of nonlinear partial differential equations in applied sciences. Moreover, 3D, 2D-polar and contour profiles are depicted for showing the physical behavior of the reported solutions by setting suitable values of unknown parameters.

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新的精确行波解的(2+1)维手性非线性Schrödinger方程

本文成功地构造了(2+1)维手性非线性Schröginger方程(CNLSE)的各种精确行波解，如类三角波解、奇异波解和周期波解以及双曲波解，该方程作为量子场论中讨论波的控制方程。得到这些解的机制是扩展的有理sin -cos /sin -cosh，并给出了有效解存在的约束条件。所获得的结果表明，所提出的技术对于探索应用科学中几种类型的非线性偏微分方程是一个重要的补充。此外，通过设置未知参数的合适值，描绘了3D, 2d极坐标和轮廓轮廓，以显示所报告的解决方案的物理行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Modelling of Natural Phenomena MATHEMATICAL & COMPUTATIONAL BIOLOGY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

5.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues. Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.