Abstract
This study investigates the physical significance of the dimensionless Zakharov equation ZE, which theoretically describes the interaction between high-frequency Langmuir waves and low-frequency ion-acoustic waves. Coastal engineering, fluid dynamics, nonlinear optics, and plasma wave physics are all fields of study that explore this relationship. We use the modified Khater method, the auxiliary equation approach, and the Khater II method, all cutting-edge ways to compute, to come up with a wide range of new and different solutions. Other physical aspects of this interaction are briefly explained below. To figure out the originality of our solutions, we have to compare our results to those of other published studies.
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