Optical solutions and conservation laws of the Chen-Lee-Liu equation with Kudryashov's refractive index via two integrable techniques

The fundamental objective of this study is to find optical solutions to the perturbed Chen-Lee-Liu equation with Kudryashov's arbitrary refractive index model. Therefore, we applied the enhanced Kudryashov's and improved extended tanh-function techniques to the model. We obtained bright soliton, singular soliton, singular periodic wave, Jacobi elliptic function, exponential function, Weierstrass function, and dark soliton solutions. The obtained results are different from the other solutions available in the literature. As a result of the study, we can say that the proposed methods are effective and powerful for securing exact solutions of the nonlinear partial differential equations. Finally, using a new conservation theorem, we were able to establish the conservation laws for the current model.

Automated summary

The objective of this study is to find optical solutions for the perturbed Chen-Lee-Liu equation with Kudryashov's arbitrary refractive index model. The enhanced Kudryashov's and improved extended tanh-function techniques were applied, resulting in the discovery of various soliton solutions. These methods proved to be effective and powerful for obtaining exact solutions to nonlinear partial differential equations. The study also established conservation laws for the current model using a new conservation theorem.