Generalizations of the short pulse equation
Andrew N.W. Hone, Vladimir Novikov, Jing Ping Wang
TL;DR
This paper classifies integrable second-order scalar polynomial PDEs that extend the short pulse equation, providing a comprehensive understanding of their structure and properties.
Contribution
It introduces a classification of integrable second-order polynomial PDEs generalizing the short pulse equation, expanding the known family of such equations.
Findings
Identified new integrable PDEs generalizing the short pulse equation
Provided a classification scheme for these equations
Enhanced understanding of the structure of integrable PDEs
Abstract
We classify integrable scalar polynomial partial differential equations of second order generalizing the short pulse equation.
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