SOME PERIODIC AND BLOW-UP SOLUTIONS FOR LANDAU–LIFSHITZ EQUATION
SOME PERIODIC AND BLOW-UP SOLUTIONS FOR LANDAU–LIFSHITZ EQUATION
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DOI：
10.1142/s0217732311036644
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发表时间：
2011-11
影响因子：
1.4
通讯作者：
Penghong Zhong;Shu Wang;Shengtao Chen
中科院分区：
文献类型：
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作者：
Penghong Zhong;Shu Wang;Shengtao Chen
本文构造了铁磁材料中二维或三维时空Landau-Lifshitz方程的精确解。在适当的变换下，得到了径向对称坐标系和非对称坐标系下的精确解。解的类型包括有限时间爆破解、涡解和周期解。最后给出了一些解及其空间曲率。
In this paper, we construct the exact solution of two- or three-dimensional spacetime Landau–Lifshitz equation raised in the ferromagnetic materials. Under suitable transformations, some exact solutions are obtained in the radially symmetric coordinates and nonsymmetric coordinates. The type of solutions cover the finite time blow-up solution, vortex solution and periodic solution. In the end, we sketch some solutions and their spatial curvatures.