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Internal consistency of weakly nonlinear theories of solitary waves

 

作者: R. I. Joseph,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1981)
卷期: Volume 24, issue 1  

页码: 176-178

 

ISSN:0031-9171

 

年代: 1981

 

DOI:10.1063/1.863236

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The Whitham equation for the wave dispersion &ohgr;/k=(1+k2)−1is shown to be equivalent tout+ux−uxxt+uux−(uu@qLx)xx=0. By studying its stationary wave solutions, it is shown that there exists a critical value of the speedc(=4/3) above which this weakly nonlinear theory becomes internally inconsistent.

 

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