SOLUTIONS OF THE SINE-GORDON EQUATION IN HIGHER DIMENSIONS

被引：13
作者：
LEIBBRANDT, G
MORF, R
WANG, SS
机构：
[1] UNIV GUELPH, DEPT MATH & STAT, GUELPH N1G 2W1, ONTARIO, CANADA
[2] UNIV GUELPH, INST COMP SCI, GUELPH N1G 2W1, ONTARIO, CANADA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 07期
关键词：
D O I：
10.1063/1.524646
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Exact solutions are derived for the three-dimensional and four-dimensional sine-Gordon equation [∇2 - ∂2/(c 2∂t2)]χ = sinχ. The principal tools in the derivation are a new Bäcklund transformation and the appropriate generating formulas which allow us to generate an infinite number of real classical solutions. Three-dimensional computer plots depicting the time evolution are presented (a) for the two-soliton and four-soliton solutions of the sine-Gordon equation, and (b) for the three-wave interaction of the associated sinh-Gordon equation. © 1980 American Institute of Physics.
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页码：1613 / 1624
页数：12
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