A nonlinear superposition rule for solutions of the Milne--Pinney equation
Jos\'e F. Cari\~nena, Javier de Lucas
TL;DR
This paper derives a nonlinear superposition rule that allows combining two solutions of the Milne--Pinney equation, providing a new method for solving this nonlinear differential equation.
Contribution
The paper introduces a novel nonlinear superposition rule specifically for solutions of the Milne--Pinney equation, expanding the tools available for its analysis.
Findings
Derived a superposition rule for two solutions
Enables new solution construction methods
Advances understanding of nonlinear differential equations
Abstract
A superposition rule for two solutions of a Milne--Pinney equation is derived.
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