Structures of equatorial envelope Rossby wave under the influence of new type of diabatic heating

The cubic nonlinear Schrödinger (NLS for short) equation with new type of external heating source is derived for large amplitude equatorial envelope Rossby wave in a shear flow. And then various periodic structures for these equatorial envelope Rossby waves are obtained with the help of Jacobi elliptic functions and elliptic equation. It is shown that different types of phase-locked diabatic heating play different roles in structures of equatorial envelope Rossby wave.