Exact wave solutions of truncated M-fractional new hamiltonian amplitude equation through two analytical techniques

This research is concerned to some modernistic wave solutions of truncated M-fractional new Hamiltonian amplitude (NHA) equation. The dealing model relates with some disabilities of wave-train. The collected solutions can be executed in exposing of this model in prominent form. The obtained results include the trigonometric, hyperbolic trigonometric and exponential functions. Verification of the results is also done by using Mathematica tool. Two techniques named modified simplest equation (MSE) and Sardar sub-equation (SSE) techniques are employed to protect the results. The achieved results are also illustrated by 3D plots for different values of truncated M-fractional parameters. The achieved results are newer than the present results of the model in the literature. The gained results can also be fruitful for the development of model in future.

Automated summary

This research investigates some modernistic wave solutions to the truncated M-fractional new Hamiltonian amplitude equation. The collected solutions are presented in a prominent form, taking into consideration the disabilities of the wave-train. The obtained results include trigonometric, hyperbolic trigonometric, and exponential functions. The validity of the results is verified using the Mathematica tool. Two techniques, namely modified simplest equation (MSE) and Sardar sub-equation (SSE) techniques, are employed to safeguard the results. 3D plots are used to illustrate the achieved results for different values of truncated M-fractional parameters. The obtained results are more recent than the existing results in the literature and have the potential to contribute to the future development of the model.