CONSERVATION LAWS FOR EQUATIONS RELATED TO SOIL WATER EQUATIONS

C. M. KHALIQUE; F. M. MAHOMED

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CONSERVATION LAWS FOR EQUATIONS RELATED TO SOIL WATER EQUATIONS

机译：与土壤水方程有关的方程守恒律

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摘要

We obtain all nontrivial conservation laws for a class of (2 + 1) nonlinear evolution partial differential equations which are related to the soil water equations. It is also pointed out that nontrivial conservation laws exist for certain classes of equations which admit point symmetries. Moreover, we associate symmetries with conservation laws for special classes of these equations.

机译：我们获得了一类与土壤水分方程有关的（2 +1）非线性演化偏微分方程的所有非平凡的守恒律。还要指出的是，对于某些准许点对称的方程，存在非平凡的守恒定律。此外，对于这些方程的特殊类别，我们将对称性与守恒定律相关联。

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《Mathematical Problems in Engineering》 |2005年第1期|p.141-150|共10页
作者
C. M. KHALIQUE; F. M. MAHOMED;
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正文语种 eng
中图分类工程数学;
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2. Conservation laws for a class of soil water equations [J] . Emrullah Yasar Communications in Nonlinear Science and Numerical Simulation . 2010,第10期

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3. Additional conservation laws, functional relations between conservation laws, and potentials of divergent gas dynamics equations [J] . Rylov A. I. Journal of applied mathematics and mechanics . 2015,第3期

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4. Preliminary Discussion on Implementation of New "Law of Water and Soil Conservation" in Supervision of Soil and Water Conservation in the Yellow River Basin [C] . Zhang Laizhang, Gao Jinghui, Dang Weiqin International Yellow River forum on ensuring water right of the river's demand and healthy river basin maintenance;Ministry of Water Resources;China Yellow River Foundation . 2012

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5. NONLOCAL LINEAR SECOND-ORDER "EQUATIONS OF MOTION" AND THEIR BALANCE LAWS AND CONSERVATION LAWS: A TECHNIQUE BYPASSING LAGRANGIANS. [D] . GOULD, LAURENCE IRA. 1982

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7. Conservation laws for equations related to soil water equations [O] . C. M. Khalique, F. M. Mahomed 2005

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8. High-Resolution Lax-Friedrichs Scheme for Hyperbolic Conservation Laws withSource Terms: Application to Shallow Water Equations [R] . Erbes, G. 1992

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CONSERVATION LAWS FOR EQUATIONS RELATED TO SOIL WATER EQUATIONS

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