LIE SYMMETRIES AND CONSERVATION LAWS OF A FISHER EQUATION WITH NONLINEAR CONVECTION TERM

MARÍA ROSA; MARÍA DE LOS SANTOS BRUZÓN; MARÍA DE LUZ GANDARIAS

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LIE SYMMETRIES AND CONSERVATION LAWS OF A FISHER EQUATION WITH NONLINEAR CONVECTION TERM

机译：具有非线性对流项的Fisher方程的Lie对称性和守恒律。

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Memory effect in diffusion-reaction equation with finite memory transport plays an important role in physical, biological and chemical sciences. In this work we consider a Fisher equation, which has a nonlinear convection term with finite memory transport, from the point of view of Lie classical reductions. By using a direct method we obtain some travelling waves solutions. Furthermore, by using the multipliers method, we derive some nontrivial conservation laws for this equation.

机译：具有有限记忆传递的扩散反应方程中的记忆效应在物理，生物和化学科学中起着重要作用。在这项工作中，我们从李经典还原的角度考虑一个费舍尔方程，该方程具有有限的记忆输运非线性对流项。通过使用直接方法，我们获得了一些行波解。此外，通过使用乘数法，我们得出了该方程的一些非平凡的守恒定律。

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来源
《Discrete and continuous dynamical systems》 |2015年第6期|1331-1339|共9页
作者
MARÍA ROSA; MARÍA DE LOS SANTOS BRUZÓN; MARÍA DE LUZ GANDARIAS;
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作者单位

Dpto. de Matemáticas, Universidad de Cádiz Polígono del Río San Pedro s 11510 Puerto Real Cádiz, Spain;

Dpto. de Matemáticas, Universidad de Cádiz Polígono del Río San Pedro s 11510 Puerto Real Cádiz, Spain;

Dpto. de Matemáticas, Universidad de Cádiz Polígono del Río San Pedro s 11510 Puerto Real Cádiz, Spain;

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原文格式 PDF
正文语种 eng
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关键词
Lie symmetries; Fisher-equation; conservation law; finite memory transport;

机译：谎言对称性费雪方程保护法;有限内存传输;

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1. Adjoint symmetry and conservation law of nonlinear diffusion equations with convection and source terms [J] . Zhang Zhi-Yong, Xie Liang Nonlinear analysis. Real world applications . 2016,第Null期

机译：对流项和源项的非线性扩散方程的伴随对称性和守恒律
2. Additional conservation laws for Rosenau-KdV-RLW equation with power law nonlinearity by Lie symmetry [J] . Razborova Polina, Kara Abdul H., Biswas Anjan Nonlinear dynamics . 2015,第1期

机译：Lie对称性具有幂律非线性的Rosenau-KdV-RLW方程的附加守恒律
3. NONLINEAR DIFFERENTIAL EQUATIONS: LIE SYMMETRIES, CONSERVATION LAWS AND OTHER APPROACHES OF SOLVING [J] . Chaudry Masood Khalique, Muhammad Usman, Maria Luz Gandarais Discrete and continuous dynamical systems▼hSeries S . 2020,第10期

机译：非线性微分方程：谎言对称，保护法和其他解决方法
4. Lie symmetries of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation [C] . M. S. Bruzon, T. M. Garrido, E. Recio, International Conference of Numerical Analysis and Applied Mathematics . 2019

机译：在不均匀的Fisher-Kolmogorov方程中的非线性波的对称性
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. Hölder inequality applied on a non-Newtonian fluid equation with a nonlinear convection term and a source term [O] . Huashui Zhan -1

机译：Hölder不等式应用于具有非线性对流项和源项的非牛顿流体方程
7. Nonlinear differential equations: Lie symmetries, conservation laws and other approaches of solving [O] . Chaudry Masood Khalique, Muhammad Usman, Maria Luz Gandarais 2020

机译：非线性微分方程：谎言对称，保护法和其他解决方法

LIE SYMMETRIES AND CONSERVATION LAWS OF A FISHER EQUATION WITH NONLINEAR CONVECTION TERM

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