【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.更多还原

【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 equation.更多还原