ON SEMIANALYTICAL SOLUTIONS OF NONLINEAR FRACTIONAL ORDER PARTIAL DIFFERENTIAL EQUATIONS
Project no. 24004 · Status: Kapanmış · 2022
Summary
<p>In this project, the analytical solutions of nonlinear wave equations are comprehensively examined. Various hyperbolic and trigonometric function solutions are obtained using the Improved Kudryashov, Kudryashov's R, Sardar Subequation methods. Additionally, the Kudryashov method is applied to nonlinear physical systems, analyzing the parametric structures of the solutions. The inclusion of the fractional derivative concept enables a more realistic investigation of nonlinear systems. The findings provide significant contributions to solution methods for nonlinear partial differential equations. In the future, applying these approaches to fields such as optical couplers, metamaterials, and fractional-order integrable systems will enhance the understanding of nonlinear systems in greater depth.</p>