Frobenius integrable decompositions of nonlinear evolution equations with modified term

作者：

Highlights：

• The generalized define of Frobenius integrable decompositions is introduced for nonlinear equations with modified term.

• Two classes of polynomial equations with modified term possess such Frobenius integrable decompositions.

• The resulting solutions are illustrated to describe the solution phenomena.

摘要

•The generalized define of Frobenius integrable decompositions is introduced for nonlinear equations with modified term.•Two classes of polynomial equations with modified term possess such Frobenius integrable decompositions.•The resulting solutions are illustrated to describe the solution phenomena.

论文关键词：Frobenius integrable decompositions,Polynomial equations,Modified term,Bäcklund transformations

论文评审过程：Available online 20 November 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.10.047