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[en] Highlights: • mt1 (Ek1) is in proximity to mtp (Ekp), showing the higher order corrections are small. • Increase of α and ΔE due to the nonparabolicity effect reach about 3% at kt=1 nm−1. • With increasing kt, α decreases, and ΔE increases slowly. • Nonparabolicity effect on the corrections to α and ΔE are evident for large kt. By using the perturbation expansion method and self-consistent iterative method, we evaluate the effect of the conduction band nonprabolicity on the wave vector (kt) dependent Rashba coefficient (α) and nonlinear Rashba spin splitting (ΔE) in the Al0.5Ga0.5N/GaN quantum well (QW). The effective mass (energy) under the first order approximation mt1 (Ek1) is in proximity to the iterative result mtp (Ekp) and mt1>mtp, Ek1Ekp, showing the higher order contributions to mt (Ek) are small. The sign of the nonparabolic correction to Ek is just opposite to that of the correction to mt. The increase of α and ΔE due to the conduction band nonparabolicity reaches about 3% at kt=1 nm−1. Around the left heterointerface, the probability density is high and Ek0>Ekp>Ek1, so α0αpα1, ΔE0EpE1. With increasing kt, α decreases, and ΔE increases slowly. For small kt, α0 (ΔE0), α1 (ΔE1) and αp (ΔEp) are nearly the same. While for large kt, the difference between α0 and α1 (αp) increases rapidly, but the difference between ΔE0 and ΔE1 (ΔEp) increases slowly.