Solitary Wave Solutions to a Fractional Model Using the Improved Modified Extended Tanh-Function Method

Nonlinear fractional partial differential equations (NLFPDEs) are widely used in simulating a variety of phenomena arisen several disciplines such as applied mathematics, engineering, physics, and wide range other applications. Solitary wave solutions NLFPDEs have become significant tool understanding the long-term dynamics these events. This article primarily focuses on using improved modified extended tanh-function algorithm to determine certain traveling space-time symmetric regularized long (SRLW) equation, which is discuss space-charge waves, shallow water etc. The Jumarie’s Riemann-Liouville derivative successfully deal with derivatives, appear SRLW problem. We find many form trigonometric, hyperbolic, complex, rational functions. Furthermore, performance employed technique investigated comparison techniques Oncoming exp(−Θ(q))-expansion method Jacobi elliptic function expansion strategy. Some obtained results graphically displayed show their physical features. findings this demonstrate that approach enables us handle more emerge mathematical physics.