TRAVELING-WAVE SOLUTIONS OF NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS

被引：3
|
作者：
GUNDERSEN, RM
机构：
[1] Chicago, 60660, IL
来源：
JOURNAL OF ENGINEERING MATHEMATICS | 1990年 / 24卷 / 04期
关键词：
D O I：
10.1007/BF00130687
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Elementary transformations are utilized to obtain traveling wave solutions of some diffusion and wave equations, including long wave equations and wave equations the nonlinearity of which consists of a linear combination of periodic functions, either trigonometric or elliptic. In particular, a theorem is established relating the solutions of a single cosine equation and a double sine-cosine equation. It is shown that the latter admits a Bäcklund Transformation. © 1990 Kluwer Academic Publishers.
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页码：323 / 341
页数：19
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