Numerical simulations of Zakharov's (ZK) non-dimensional equation arising in Langmuir and ion-acoustic waves

The trigonometric quintic B-spline scheme is used in this research paper to research Zakharov's (ZK) nonlinear dimensional equation's numerical solution. The ZK model's solutions explain the relationship between the high-frequency Langmuir and the low-frequency ion-acoustic waves with many applications in optical fiber, coastal engineering, and fluid mechanics of electromagnetic waves, plasma physics, and signal processing. Three recent computational schemes (the expanded exp(phi)-expansion method, generalized Kudryashov method, and modified Khater method) have recently been used to investigate this model's moving wave solution. Many innovative solutions have been established in this paper to determine the original and boundary conditions that allow numerous numerical schemes to be implemented. Here, the trigonometric quintic B-spline method is used to analyze the precision of the collected analytical solutions. To illustrate the precision of the numerical and computational solutions, distinct drawings are depicted.

Automated summary

The research paper employs the trigonometric quintic B-spline scheme to investigate the numerical solution of Zakharov's nonlinear dimensional equation, exploring the connection between high-frequency Langmuir and low-frequency ion-acoustic waves with various applications. Different computational schemes have been utilized to study the model's moving wave solution, with innovative solutions established to determine suitable conditions for implementing multiple numerical schemes. The precision of the collected analytical solutions is analyzed using the trigonometric quintic B-spline method, and distinct drawings are provided to illustrate the accuracy of the numerical and computational solutions.