Darboux integrability of the stretch-twist-fold flow

作者：Bao J.^*; Yang Q.

来源：Nonlinear Dynamics, 2014, 76(1): 797-807.

DOI：10.1007/s11071-013-1170-7

• Darboux first integrals
• Darboux integrability
• Exponential factors
• Invariant algebraic surface
• Stretch-twist-fold flow

The stretch-twist-fold (STF) flow, as a special case of Stokes flows, arises naturally in dynamo theory. The paper studies the integrability of the STF flow. The paper provides a complete classification of the irreducible Darboux polynomials for the system with all values of the parameter alpha. When the parameter is zero, the STF flow is integrable. When the parameter is more than zero, it is proved not to be Darboux integrable. The paper also proves the system has neither exponential factors nor polynomial first integrals at the parameter alpha more than zero.

• 出版日期2014
• 单位华南理工大学