Optical soliton with Kudryashov's equation via sine-Gordon expansion and Kudryashov methods

Abstract

This article is concerned with analyzing exact optical soliton solutions to Kudryashov's model. To this end, the sine-Gordon expansion and Kudryashov methods are exerted and a bunch of new optical soliton solutions is acquired. The implementation and algebraic methods are discussed in detail. Finally, singular and bright-dark soliton solutions emerge from the scheme and the existing criteria for such solutions are elucidated.