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In this paper, we present a method to identify integrable complex nonlinearoscillator systems and construct their solutions. For this purpose, weintroduce two types of nonlocal transformations which relate specific classesof nonlinear complex ordinary differential equations (ODEs) with complex linearODEs, thereby proving the integrability of the former. We also show how toconstruct the solutions using the two types of nonlocal transformations withseveral physically interesting cases as examples.

A nonlocal connection between certain linear and nonlinear ordinary differential equations - Part II: Complex nonlinear oscillators