Integrability of the Egorov hydrodynamic type systems
Maxim V. Pavlov
TL;DR
This paper establishes an integrability criterion for Egorov hydrodynamic type systems, derives their general solutions using the generalized hodograph method, and provides illustrative examples.
Contribution
It introduces a new integrability criterion for Egorov systems and explicitly constructs their general solutions.
Findings
Integrability criterion for Egorov systems established
General solutions obtained via generalized hodograph method
Multiple examples demonstrating the theory
Abstract
Integrability criterion for the Egorov hydrodynamic type systems is presented. The general solution by generalized hodograph method is found. Examples are given
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Advanced Differential Equations and Dynamical Systems