Similarity reductions and similarity solutions for the generalized diffusion equation

Moussa M. H. M.; Abd Al-Halim Zidan M.

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Similarity reductions and similarity solutions for the generalized diffusion equation

机译：广义扩散方程的相似度约简和相似度解

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Herein, the generalized diffusion equation that encompasses the nonlinear diffusion equation with a source term and the Boussinesq equation in hydrology as its particular form and appears in a wide variety of physical and engineering applications has been analyzed via symmetry method that was developed by Steinberg.

机译：在此，通过斯坦伯格（Steinberg）开发的对称方法，分析了广义扩散方程，该广义扩散方程包括以源项和水文Boussinesq方程为特定形式的非线性扩散方程，并出现在广泛的物理和工程应用中。

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《Mathematical Methods in the Applied Sciences》 |2015年第17期|共11页
作者
Moussa M. H. M.; Abd Al-Halim Zidan M.;
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正文语种 eng
中图分类数学;
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symmetry method; generalized diffusion equation;

机译：对称法;广义扩散方程;

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1. Similarity reductions and similarity solutions for the generalized diffusion equation [J] . Moussa M. H. M., Abd Al-Halim Zidan M. Mathematical Methods in the Applied Sciences . 2015,第17期

机译：广义扩散方程的相似度约简和相似度解
2. Abundant Similarity Reductions and Dromion-Like Solutions to the Generalized Kroteweg-de Vries Equation in the (2+-1)-Dimensional Space [J] . YAN Zhen-Ya 理论物理通讯（英文版） . 2001,第011期

机译：（2 + -1）维空间中广义Kroteweg-de Vries方程的大量相似约简和Dromion类解
3. Painlevé integrability, similarity reductions, new soliton and soliton-like similarity solutions for the (2+1)-dimensional BKP equation [J] . Yueqian Liang, GuangmeiWei, Xiaonan Li Nonlinear dynamics . 2011,第1a2期

机译：（2 + 1）维BKP方程的Painlevé可积性，相似度降低，新的孤子和类孤子相似解
4. Similarity transformation and exact solutions to the generalized (3+1)-Dimensional nonlinear Schrödinger equation with distributed coefficients [C] . Xiao-Bei Liu, Li Biao 2011 International Conference on Multimedia Technology . 2011

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5. THE GENERAL SIMILARITY SOLUTION OF THE TRICOMI EQUATION WITH APPLICATIONSTO TRANSONIC FLOW. [D] . FENG, CHAO-KANG. 1977

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6. Retinal Image Enhancement Using Robust Inverse Diffusion Equation and Self-Similarity Filtering [O] . Lu Wang, Guohua Liu, Shujun Fu, -1

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7. Solutions of reaction-diffusion equations using similarity reduction and HSSOR iteration [O] . Nur Afza Mat Ali, Rostang Rahman, Jumat Sulaiman, 2019

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8. Similarity Transformations, the Structure of the Travelling Waves Solution and the Existence of a Global Smooth Solution to Generalized Kuramoto-Sivashinsky Type Equations [R] . Guo, B. 1988

机译：相似变换，行波解的结构和广义Kuramoto-sivashinsky型方程整体光滑解的存在性

Similarity reductions and similarity solutions for the generalized diffusion equation

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