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The Asymptotic Solution of the Korteweg‐deVries Equation in the Absence of Solitons

 

作者: John W. Miles,  

 

期刊: Studies in Applied Mathematics  (WILEY Available online 1979)
卷期: Volume 60, issue 1  

页码: 59-72

 

ISSN:0022-2526

 

年代: 1979

 

DOI:10.1002/sapm197960159

 

数据来源: WILEY

 

摘要:

The asymptotic solution of the Korteweg‐de Vries equationuτ+ ⅓uxxx+ 2uux= 0 for initial conditions from which no solitons evolve is obtained as a slowly varying similarity solution of the formτ−2/3(Vz−V2, whereV=V(z/τ) andz=τ−1/3x. The results are consistent with, but go somewhat beyond, those recently obtained by Ablowitz and Segur [2] through a rather diffe

 

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