English

On fully-nonlinear symmetry-integrable equations with rational functions in their highest derivative: Recursion operators

Exactly Solvable and Integrable Systems 2023-06-22 v2

Abstract

We report a class of symmetry-intergable third-order evolution equations in 1+1 dimensions under the condition that the equations admit a second-order recursion operator that contains an adjoint symmetry (integrating factor) of order six. The recursion operators are given explicitly.

Keywords

Cite

@article{arxiv.2211.06937,
  title  = {On fully-nonlinear symmetry-integrable equations with rational functions in their highest derivative: Recursion operators},
  author = {Marianna Euler and Norbert Euler},
  journal= {arXiv preprint arXiv:2211.06937},
  year   = {2023}
}
R2 v1 2026-06-28T05:45:22.279Z