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In terms of our new exact definition of partial Lagrangian and approximate Euler-Lagrange-type equation, we investigate the nonlinear wave equation with damping via approximate Noether-type symmetry operators associated with partial Lagrangians and construct its approximate conservation laws in general form. 相似文献
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This paper is devoted to studying symmetry reduction of Cauchy problems for the fourth-order quasi-linear parabolic equations that admit certain generalized conditional symmetries (GCSs). Complete group classification results are presented, and some examples are given to show the main reduction procedure. 相似文献
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在这篇论文中,我们研究了$\mathcal{A}$-Gorenstein投射模类和$\mathcal{A}$的左正交模类之间的关系,以及$\mathcal{A}$-Gorenstein内射模类和A的右正交模类之间的关系.我们得到了$\mathcal{A}$-Gorenstein投射模和$\mathcal{A}$-Gorenstein内射模的一些函子刻画.以完备对偶对为工具,我们讨论了$\mathcal{A}$-Gorenstein投射模和$\mathcal{B}$-Gorenstein平坦模之间的关系,并推广了一些已知结论. 相似文献
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