| 扰动Boussinesq方程的近似守恒律 |
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| 引用本文： | 贺欢,张颖,李浩荣.扰动Boussinesq方程的近似守恒律[J].纯粹数学与应用数学,2010,26(5):728-734. |
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| 作者姓名： | 贺欢 张颖 李浩荣 |
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| 作者单位： | 西北大学数学系,陕西,西安,710127;西北大学数学系,陕西,西安,710127;西北大学数学系,陕西,西安,710127 |
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| 摘 要： | 构造了具有扰动项的Boussinesq方程的近似守恒向量和近似守恒律.在方程允许拉格朗日函数的情况下,利用欧拉方程的部分拉格朗日函数方法,研究了含有一阶线性组合扰动项的Boussineq方程的近似守恒律.给出了该方程的近似守恒向量及近似守恒律的分类结果.
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| 关 键 词： | 扰动Boussinesq方程 近似Nother-type对称算子 部分拉格朗日函数 守恒律 欧拉方程 |
Approximate conservation laws of perturbed Boussinesq equation |
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| HE Huan,ZHANG Ying,LI Hao-rong.Approximate conservation laws of perturbed Boussinesq equation[J].Pure and Applied Mathematics,2010,26(5):728-734. |
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| Authors: | HE Huan ZHANG Ying LI Hao-rong |
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| Institution: | (Department of Mathematics, Northwest University, Xi＇an 710127, China) |
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| Abstract: | We show how one can construct approximate conserved vectors and conservation laws for perturbed Boussinesq equation.In terms of the partial Lagrangian approach,we consider the perturbed Boussinesq equa-tion with first order linear combination perturbation nuchal via approximate Noether-type symmetry operators associatied with partial Lagrangian function and construct approximate conservation laws.Then,we obtain classification results of approximate conservation laws of the perturbed partial differential equ... |
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| Keywords: | perturbed Boussinesq equation approximate Noether-type symmetry operators partial Lagrangian function conservation laws Euler-Lagrange equation |
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