Abstract
Abstract In this article, we take into account the fractional space Kundu–Mukherjee–Naskar model with time-dependent coefficients (FSKMNE-TDCs). By incorporating time-dependent coefficients (TDCs) into the equation, researchers can better model systems that exhibit nonconstant or nonlinear behavior over time. This has important implications for understanding complex phenomena such as turbulence in fluid flow, quantum tunneling in particle physics, and time-varying electromagnetic fields. We apply the mapping method to obtain hyperbolic, elliptic, trigonometric and rational fractional solutions. These solutions are vital for understanding some fundamentally complicated phenomena. The obtained solutions will be very helpful for applications such as optical fiber wave propagation in a magnetized plasma, oceanic rogue waves, and ion-acoustic waves. Finally, we show how the M-truncated derivative order and TDCs affect the exact solution of the FSKMNE-TDCs.
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