On a new avatar of the sine-Gordon equation
Sergei Sakovich
TL;DR
This paper introduces a chain of transformations linking a new integrable case of the generalized short pulse equation to the sine-Gordon equation, expanding the understanding of integrable systems.
Contribution
It presents a novel transformation chain connecting a new integrable short pulse equation case with the sine-Gordon equation.
Findings
Established a transformation linking the equations
Identified a new integrable case of the short pulse equation
Enhanced understanding of integrable systems
Abstract
A chain of transformations is found which relates one new integrable case of the generalized short pulse equation of Hone, Novikov and Wang [arXiv:1612.02481] with the sine-Gordon equation.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Mathematical Physics Problems