Langrangian formulation and solitary wave solutions of a generalized Zakharov–Kuznetsov equation with dual power-law nonlinearity in physical sciences and engineering

IF 13 1区 工程技术 Q1 ENGINEERING, MARINE
Chaudry Masood Khalique, Oke Davies Adeyemo
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引用次数: 0

Abstract

This paper presents analytical studies carried out explicitly on a higher-dimensional generalized Zakharov–Kuznetsov equation with dual power-law nonlinearity arising in engineering and nonlinear science. We obtain analytic solutions for the underlying equation via Lie group approach as well as direct integration method. Moreover, we engage the extended Jacobi elliptic cosine and sine amplitude functions expansion technique to seek more exact travelling wave solutions of the equation for some particular cases. Consequently, we secure, singular and nonsingular (periodic) soliton solutions, cnoidal, snoidal as well as dnoidal wave solutions. Besides, we depict the dynamics of the solutions using suitable graphs. The application of obtained results in various fields of sciences and engineering are presented. In conclusion, we construct conserved currents of the aforementioned equation via Noether’s theorem (with Helmholtz criteria) and standard multiplier technique through the homotopy formula.

物理科学与工程中具有对偶幂律非线性的广义Zakharov–Kuznetsov方程的拉格朗日公式和孤立波解
本文对工程和非线性科学中出现的具有对偶幂律非线性的高维广义Zakharov–Kuznetsov方程进行了明确的分析研究。我们通过李群方法和直接积分方法得到了基本方程的解析解。此外,我们采用扩展的Jacobi椭圆余弦和正弦振幅函数展开技术,在某些特定情况下寻求方程的更精确行波解。因此,我们得到了奇异和非奇异(周期)孤立子解、椭圆、正弦和dnoidal波解。此外,我们使用合适的图来描述解的动力学。介绍了所得结果在科学和工程各个领域的应用。总之,我们通过Noether定理(具有亥姆霍兹准则)和标准乘子技术,通过同伦论公式构造了上述方程的守恒流。
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
CiteScore
11.50
自引率
19.70%
发文量
224
审稿时长
29 days
期刊介绍: The Journal of Ocean Engineering and Science (JOES) serves as a platform for disseminating original research and advancements in the realm of ocean engineering and science. JOES encourages the submission of papers covering various aspects of ocean engineering and science.
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