Symmetries and Riemann Invariants
A. Michel Grundland
TL;DR
This paper explores the connection between symmetry reduction and the generalized method of characteristics in constructing Riemann k-wave solutions for hydrodynamic systems.
Contribution
It establishes a formal relation between two prominent methods for solving hydrodynamic-type systems, enhancing understanding of their interplay.
Findings
Derived a link between symmetry reduction and characteristic methods.
Unified framework for constructing Riemann k-wave solutions.
Clarified the role of symmetries in hydrodynamic equations.
Abstract
To establish a relation between two approaches to the construction of Riemann k-wave solutions of hydrodynamic-type systems, namely the symmetry reduction method and the generalized method of characteristics.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems · Quantum chaos and dynamical systems