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

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.

References in corpus (1)

• On differential equations invariant under two-variable Möbius transformations

Cited by in corpus (1)

• Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations