Dynamical Study of Coupled Riemann Wave Equation Involving Conformable, Beta, and M-Truncated Derivatives via Two Efficient Analytical Methods

In this study, the Jacobi elliptic function method (JEFM) and modified auxiliary equation (MAEM) are used to investigate solitary wave solutions of nonlinear coupled Riemann (RW) equation. Nonlinear partial differential equations (NLPDEs) can be transformed into a collection algebraic by utilising travelling transformation. This study’s objective is learn more about non-linear RW equation, which accounts for tidal waves, tsunamis, static uniform media. The variance in governing model’s behavior investigated using conformable, beta, M-truncated derivatives (M-TD). aforementioned methods derive trigonometric, hyperbolic, jacobi functions. We may produce periodic solutions, bell-form soliton, anti-bell-shape M-shaped, W-shaped solitons altering specific parameter values. mathematical form each pair symmetric. Lastly, order emphasise impact M-TD on behaviour symmetric presented problem, 2D 3D representations analytical soliton produced Mathematica 10.