Conditional Lie-Backlund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations

Ji Lina

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Conditional Lie-Backlund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations

机译：线性确定方程对非齐次非线性扩散方程的条件Lie-Backlund对称性和微分约束

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摘要

The method of linear determining equations is developed to study conditional Lie-Backlund symmetries for evolution equations, which is more general than the classical determining equations for Lie's generators. As an application of this approach, the complete classification is presented for the inhomogeneous nonlinear diffusion equations which admit the second-order and third-order conditional Lie-Backlund symmetries. Several examples are given to illustrate the corresponding symmetry reductions due to the compatibility of the invariant conditions and the governing equations. (C) 2016 Elsevier Inc. All rights reserved.

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《Journal of Mathematical Analysis and Applications》 |2016年第1期|共14页
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Ji Lina;
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正文语种 eng
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Conditional Lie-Backlund symmetry; Differential constraint; Inhomogeneous nonlinear diffusion equation; Linear determining equation; Symmetry reduction;

机译：条件Lie-Backlund对称;微分约束;非均匀非线性扩散方程;线性确定方程;对称约化;

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专利

1. Conditional Lie-Backlund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations [J] . Ji Lina Journal of Mathematical Analysis and Applications . 2016,第1期

机译：线性确定方程对非齐次非线性扩散方程的条件Lie-Backlund对称性和微分约束
2. Conditional Lie-B?cklund symmetries and functionally separable solutions of the generalized inhomogeneous nonlinear diffusion equations [J] . Feng W., Ji L. Physica, A. Statistical mechanics and its applications . 2013,第4期

机译：广义不均匀非线性扩散方程的条件Lie-B？cklund对称性和函数可分离解
3. Conditional LieBcklund symmetries and solutions of inhomogeneous nonlinear diffusion equations [J] . Ji L. Physica, A. Statistical mechanics and its applications . 2010,第24期

机译：非均匀非线性扩散方程的条件LieBcklund对称性和解
4. Conditional Lie-Backlund symmetries andconcavity of solutions to nonlinear parabolicequations [C] . Changzheng Qu, Shoufeng Shen, Shunli Zhang International Workshop on Nonlinear and Modern Mathematical Physics . 2010

机译：有条件的谎言障碍对称和非线性抛物面解决方案的校正力
5. Painleve analysis, Lie symmetries and integrability of nonlinear ordinary differential equations. [D] . Lu, Yixia. 2005

机译：非线性常微分方程的Painleve分析，Lie对称性和可积性。
6. A Novel Scheme for Optimal Control of a Nonlinear Delay Differential Equations Model to Determine Effective and Optimal Administrating Chemotherapy Agents in Breast Cancer [O] . HR Ramezanpour, S Setayeshi, ME Akbari 2011

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7. Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source [O] . Lina Ji, Rui Wang 2020

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8. Symbolic Integration of Overdetermined Systems of Partial Differential Equations (Application to the Computation of Infinitesimal Symmetries of Nonlinear Diffusion Equations) [R] . Kersten, P. H. M., Gragert, P. K. H. 1984

机译：偏微分方程组的符号积分（非线性扩散方程的无穷小对称性计算）

Conditional Lie-Backlund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations

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