New exact solutions of the classical sine-Gordon equation in 2 + 1 and 3 + 1 dimensions
New exact solutions of the classical sine-Gordon equation in 2 + 1 and 3 + 1 dimensions
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DOI：
10.1103/physrevlett.41.435
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发表时间：
1978-08
影响因子：
8.6
通讯作者：
G. Leibbrandt
中科院分区：
文献类型：
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作者：
G. Leibbrandt
利用Baecklund变换方法，导出了sine-Gordon方程（del/sup 2/ - c/sup-2/（partial/sup 2//partialt/sup 2/））chi = sinchi的2 + 1维和3 + 1维精确解.一个公式是在3 + 1维，使我们能够产生没有额外的求积的无限类新的时间依赖的解决方案。
The method of Baecklund transformations is employed to derive in 2 + 1 and 3 + 1 dimensions exact solutions of the sine-Gordon equation (del/sup 2/ - c/sup -2/(partial/sup 2//partialt/sup 2/))chi = sinchi. A formula is developed in 3 + 1 dimensions which permits us to generate without additional quadratures an infinite class of new time-dependent solutions.