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Integrability via algebraic changes of variables

Author

Listed:
  • Giné, Jaume
  • Santallusia, Xavier

Abstract

The integrability problem consists in finding an explicit the class of functions that a first integral of a given planar polynomial differential system must belong to. In this paper we propose a method to find integrability via algebraic changes of variables in order to transform the planar polynomial differential into a simple system or equation to determine a first integral of it.

Suggested Citation

  • Giné, Jaume & Santallusia, Xavier, 2024. "Integrability via algebraic changes of variables," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    • Handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005782
    DOI: 10.1016/j.chaos.2024.115026
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