Boyer-Finley equation and systems of hydrodynamic type
E.Ferapontov, D.Korotkin, V.Shramchenko
TL;DR
This paper reduces the Boyer-Finley equation to compatible hydrodynamic systems with rational function characteristics, solving them via the generalized hodograph method to obtain solutions with functional parameters.
Contribution
It introduces a novel reduction of the Boyer-Finley equation to compatible hydrodynamic systems and applies the generalized hodograph method for solutions.
Findings
Derived compatible hydrodynamic systems from Boyer-Finley equation
Solved systems using generalized hodograph method
Obtained solutions with functional parameters
Abstract
We reduce Boyer-Finley equation to a family of compatible systems of hydrodynamic type, with characteristic speeds expressed in terms of spaces of rational functions. The systems of hydrodynamic type are then solved by the generalized hodograph method, providing solutions of the Boyer-Finley equation including functional parameters.
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Taxonomy
TopicsNonlinear Waves and Solitons · Quantum chaos and dynamical systems · Advanced Differential Equations and Dynamical Systems