Bifurcations and qualitative analysis of atangana conformable boussinesq-like equation

Abstract Atangana conformable Boussinesq-like equation plays a significant role in physical fields such as nonlinear strings, coupled electrical circuits and shape-memory alloys. In this paper, bifurcation analyses and plotting of the corresponding phase portraits of the Atangana conformable Boussinesq-like equation, and different types of exact traveling wave solutions of the equation are constructed. Then the appropriate parameters are chosen and the obtained partial solutions are simulated numerically. In addition, the strain wave behavior of the Atangana conformable Boussinesq-like equation under particular periodic forces is numerically investigated and the existence of quasi-periodic motions is demonstrated. Finally, to determine the stability of the solution, a sensitivity analysis of the dynamical system framework is performed.