darboux method
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2020 ◽  
Vol 62 (6) ◽  
pp. 874
Author(s):  
Т.А. Гаджимурадов ◽  
А.М. Агаларов

A nonlinear 1D chain with nonlocal interaction is considered. Using the multiscale expansion method, a nonlocal equation is obtained that describes the propagation of envelope waves in a medium. The properties of the obtained equation were studied and exact soliton-like solutions were constructed by the Darboux method of transformations.


1999 ◽  
Vol 40 (4) ◽  
pp. 2074-2091 ◽  
Author(s):  
Laurent Cairó ◽  
Marc R. Feix ◽  
Jaume Llibre

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