分数阶Triki-Biswas方程和广义KdV-Zakharov-Kuznetsov方程的孤立模式解

IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Pramana Pub Date : 2024-12-13 DOI:10.1007/s12043-024-02863-7
Baljinder Kour, Ashish Arora, Deep Singh
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引用次数: 0

摘要

本研究的主要目的是利用残差幂级数法(RPSM)的迭代过程,建立广义KdV-Zakharov-Kuznetsov方程和分数阶Triki-Biswas方程的孤模式解。通过实例验证了所提方法的有效性,并对结果进行了图形化论证。本文还讨论了该技术的数值解。目前的方法已被证明是可靠的、高效的和简单的,可以用于许多形式的分数阶微分方程的开发和科学领域。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Solitary pattern solution of fractional Triki–Biswas and generalised KdV–Zakharov–Kuznetsov equations

The major objective of this study is to create solitary pattern solutions to the generalised KdV–Zakharov–Kuznetsov equation and fractional-order Triki–Biswas equation using an iterative procedure known as the residual power series method (RPSM). The efficiency of the suggested technique has been demonstrated by example considerations and the results have been graphically demonstrated. This article also discusses the numerical solution of the technique presented. The current method has been demonstrated to be reliable, highly effective and straightforward and can be used in numerous forms of fractional differential equations developed and in scientific domains.

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来源期刊
Pramana
Pramana 物理-物理:综合
CiteScore
3.60
自引率
7.10%
发文量
206
审稿时长
3 months
期刊介绍: Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.
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