Abstract
The main concern of the this article is to study the non-linear Chen-Lee-Liu equation which describes themotion of waves in shallow water. For this purpose two analytical techniques namely, the Sardar-Subequationmethod and the new extended hyperbolic function method are utilized. Also, we established the idea ofthe construction of solitons solutions of non-linear evolution equations which are rising in fluid dynamics,nonlinear optics, mathematical biological models, mechanics, waves theory, quantum mechanics. Acquiredsolutions are demonstrated graphically to reveal the dynamics behavior of solitons solutions. It hoped thatthe established solutions can be used to enrich the dynamic behaviors of Chen-Lee-Liu equation. Further,these solutions disclose that our techniques are up-to-date, suitable and straightforward.
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