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A solitary wave solution to the generalized Burgers-Fishers equation using an improved differential transform method: A hybrid scheme approach

机译：使用改进的差分变换方法对广义汉堡 - Fisher方程的孤立波解决方案：混合方案方法

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In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki integral transform (an improved version of Laplace transform) and a modified differential transform called the projected differential transform (PDTM) have been implemented to solve the generalized Burgers-Fisher's equation; which springs up due to the fusion of the Burgers' and the Fisher's equation; describing convective effects, diffusion transport or interaction between reaction mechanisms, traffic flows; and turbulence; consequently finding meaningful applicability in the applied sciences viz: gas dynamics, fluid dynamics, turbulence theory, reaction-diffusion theory, shock-wave formation, traffic flows, financial mathematics, and so on.

机译：在本研究中，已经实施了一种无与伦比的混合方案，其涉及新的Elzaki积分变换（Laplace变换的改进版本的改进版）和称为投影微分变换（PDTM）的改进的差异变换，以解决广义汉堡 - 费舍尔的等式;由于汉堡的融合和渔业的方程，这将涌现出来;描述反应机制之间的对流效果，扩散运输或相互作用，交通流量;和湍流;因此，在应用的科学求解中找到有意义的适用性：气体动力学，流体动力学，湍流理论，反应 - 扩散理论，冲击波形成，交通流量，金融数学等。

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期刊名称 Heliyon
作者
Timilehin Kingsley Akinfe; Adedapo Chris Loyinmi;
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年(卷),期 2021(7),5
年度 2021
页码 e07001
总页数 16
原文格式 PDF
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关键词

机译：孤立波解决方案;杂交方案;渐近方法;Elzaki预定的差异变换;汉堡 - 费舍尔方程;反应机制;反应 - 扩散方程;3D情节;

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1. Numerical Solutions and Solitary Wave Solutions of Fractional KdV Equations using Modified Fractional Reduced Differential Transform Method1 [J] . S. Saha Ray Computational mathematics and mathematical physics . 2013,第12期

机译：分数阶归约化微分变换方法的分数阶KdV方程的数值解和孤波解
2. Travelling Solitary Wave Solutions for Generalized Time-delayed Burgers-Fisher Equation [J] . DENG Xi-Jun, HAN Li-Bo, LI Xi 理论物理通讯（英文版） . 2009,第008期

机译：广义时滞Burgers-Fisher方程的行进孤波解
3. Travelling Solitary Wave Solutions for Generalized Time-delayed Burgers-Fisher Equation [J] . DENG Xi-Jun, HAN Li-Bo, LI Xi 理论物理通讯：英文版 . 2009,第008期

机译：广义时滞Burgers-Fisher方程的行进孤波解
4. Approximate Solitary Wave Solutions for a Perturbed BBM Equation by a Hybrid Approach [C] . Eerdun BUHE, Temuer CHAOLU International Conference on Information and Computing . 2010

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5. Hybrid Chebyshev polynomial scheme for the numerical solution of partial differential equations. [D] . Khatri Ghimire, Balaram. 2016

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6. Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G′/G)-expansion method [O] . Md Nur Alam, M Ali Akbar, Harun-Or- Roshid -1

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7. A comparison between numerical solutions to fractional differential equations: Adams-type predictor-corrector and multi-step generalized differential transform method [O] . Momenzadeh, Alireza, Ahrabi, Sima Sarv 2017

机译：分数阶微分数值解的比较方程：adams型预测校正器和多步广义差分变换方法
8. A New Approach to Calculating EMP. I. Transform Method by Computer for Retarded Solution of Wave Equation. [R] . nishimura, k. schneider, s. 1972

机译：一种计算Emp的新方法。 I.波动方程延迟解的计算机变换方法。

A solitary wave solution to the generalized Burgers-Fishers equation using an improved differential transform method: A hybrid scheme approach

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