Cartan's structure of symmetry pseudo-group and a covering for the modified Khokhlov-Zabolotskaya equation
O. I. Morozov
TL;DR
This paper uses Cartan's method of equivalence to find a covering for the modified Khokhlov-Zabolotskaya equation, advancing the understanding of its symmetry structure.
Contribution
It introduces a novel application of Cartan's method to derive a covering for a specific nonlinear PDE.
Findings
Derived a new covering for the modified Khokhlov-Zabolotskaya equation
Enhanced understanding of the equation's symmetry pseudo-group
Applied Cartan's structure theory to nonlinear PDEs
Abstract
We apply Cartan's method of equivalence to find a covering for the modified Khokhlov - Zabolotskaya equation.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Nonlinear Photonic Systems