Investigation of Fractional Nonlinear Regularized Long-Wave Models via Novel Techniques

The main goal of the current work is to develop numerical approaches that use Yang transform, homotopy perturbation method (HPM), and Adomian decomposition analyze fractional model regularized long-wave equation. shallow-water waves ion-acoustic in plasma are both explained by first combines transform with He’s polynomials. In contrast, second polynomials method. Caputo sense applied derivatives. strategy’s effectiveness shown providing a variety integer-order graphs tables. To confirm validity each result, technique was substituted into described methods can be used find solutions these kinds equations as infinite series, when series closed form, they give precise solution. results support claim this approach simple, strong, efficient for obtaining exact nonlinear differential equations. strong contender contribute existing literature.