We demonstrate analytically the existence of closed form self-similar solutions in the Lugiato-Lefever model with normal and anamolous dispersion regimes. The obtained solutions are expressible in the form of hyperbolic and pure Jacobian elliptic functions. Futhermore, these closed-form self-similar solutions represent the first step toward an analyti-cal framework for wavetrain formation, and reveal new parameter regimes for enhanced Kerr comb performance.

© 2016 Optical Society of America

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