Caputo-katugampola型记忆的分数阶动力学及耦合Schrödinger-kdv方程分析

IF 1.9 4区工程技术 Q3 ENGINEERING, MECHANICAL

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-04-21 DOI:10.1115/1.4062391

Jagdev Singh, A. Gupta, D. Baleanu

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引用次数: 1

摘要

本研究的基本目的是分析时间分数阶非线性耦合Schrödinger-KdV方程所得结果的行为，实现一种有效的分析技术。本文采用卡普托型的Katugampola分数阶导数对问题进行建模。耦合Schrödinger-KdV方程描述了等离子体物理中几种波的传播，如电磁波、尘埃声波和朗缪尔波。利用不动点定理对模型的解进行了收敛性分析。收敛性分析以解的存在唯一性形式表现出来。最后给出了模型的数值模拟和图形行为，以证明所实现的分析技术的可靠性。并对精确解和近似解进行了比较分析。

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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Fractional Dynamics and Analysis of Coupled Schrödinger-kdv Equation with Caputo-katugampola Type Memory

Fundamental purpose of the current research article is to analyze the behaviour of obtained results of time fractional nonlinear coupled Schrödinger-KdV equation,viaimplementing an effective analytical technique. In this work, Katugampola fractional derivative in Caputo type is used to model the problem. The coupled Schrödinger-KdV equation describes several kinds of wave propagation in plasma physics, like electromagnetic waves, dust-acoustic waves and Langmuir waves. The fixed point theorem is used to present the convergence analysis of obtained solution of the discussed model. The convergence analysis is shown in the form of existence and uniqueness of solution. Numerical simulation and graphical behaviour of the model are presented to show the reliability of the implemented analytical technique.A comparative analysis of exact and obtained approximate solutions is also presented.

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来源期刊

Journal of Computational and Nonlinear Dynamics 工程技术-工程：机械

CiteScore

4.00

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.