Graduate Stretching Coordinates System/Reductive perturbation theory

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The discussion centers on the request for a specific paper related to stretching coordinate systems and reductive perturbation theory. A participant provides a link to the paper hosted on the APS website, which is titled "PhysRevLett.17.996." Additionally, an attached file containing the paper is mentioned. The focus remains on sharing resources for further exploration of the topic. Accessing the provided link will lead to the relevant research material.
Ahmer ali
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TL;DR
why stretching coordinate transformation is used in the study of solitons formation using reductive perturbation theory?
What is the physical reason behind the usually used transformation of the form mentioned below
transformation.JPG
 
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Please link to the specific paper in question.
 

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