EXPLORING THE IMPACT OF PARAMETERS ON FRACTIONAL SOLITON SOLUTIONS TO THE TRUNCATED DATE–JIMBO–KASHIWARA–MIWA EQUATION

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This study explores the fractional (2+1)-dimensional Date–Jimbo–Kashiwara–Miwa equation, a higher-order nonlinear model known for capturing complex wave behaviors influenced by spatial and dispersive effects. To obtain a variety of solitary wave solutions including dark, bright, and mixed solitons — three advanced analytical approaches are employed: the Riccati modified extended simple equation method, the modified [Formula: see text]-expansion method, and the newly improved generalized exponential rational function method. The model is first simplified into an ordinary differential equation using a fractional wave transformation. Mathematical simulations illustrate how key parameters affect wave propagation, highlighting the strength and flexibility of the proposed techniques in handling complex nonlinear systems. By demonstrating the effectiveness of these modern analytical methods and revealing distinctive features of nonlinear dynamics, this research offers valuable insights into higher-dimensional nonlinear equations and wave phenomena.