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Unveiling the solitons mystery: The Jacobi elliptic functions

 

作者: José M. Cervero,  

 

期刊: American Journal of Physics  (AIP Available online 1986)
卷期: Volume 54, issue 1  

页码: 35-38

 

ISSN:0002-9505

 

年代: 1986

 

DOI:10.1119/1.14767

 

出版商: American Association of Physics Teachers

 

数据来源: AIP

 

摘要:

Several examples are given in which the soliton solutions belonging to well‐known nonlinear differential equations arise as simple limits of the Jacobian elliptic functions. The knowledge of the solutions of a single ordinary nonlinear differential equation is sufficient for the subsequent derivation of soliton solutions. Various explicit examples are worked out.

 

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