The purpose of this study is to explore the recently developed (3 + 1)- dimensional mathematical model known as extended (3 + 1)-dimensional Kairat-X equation. This model has application in the different fields like differential geometry, optical fiber, ocean engineering and plasma physics. In the literature the model has not been observed so this needs to be analyzed very deeply based on the different aspects.
The recently developed techniques like generalized exponential rational function, modified generalized exponential rational function, as well as extended sinh-Gordon equation method have been under consideration in this study. Moreover, the Galilean transformation has also been used in this study.
A variety of solutions, like bright, dark and mixed solitary wave solutions are extracted. Moreover, the hyperbolic, periodic as well as exponential solutions are extracted. In addition, the chaotic analysis and sensitivity analysis are the focus of this study.
The findings in this study are original and useful in different fields, and include the contribution to scientific understanding, solving complex problems and predictive power. So, this study opens new possibilities for innovation and interdisciplinary breakthroughs, making such findings highly significant across diverse fields.
