Frobenius integrable decompositions for high-order nonlinear evolution equations

Two classes of nonlinear evolution equations are obtained, which possess Frobenius integrable decompositions. The resulting solitons are illustrated to describe the solution phenomena.

Research highlights
► Two classes of nonlinear evolution equations are obtained, which possess Frobenius integrable decompositions.
► Some results were obtained by use of MAPLE.
► The resulting solitons are illustrated to describe the solution phenomena.