<p>The paper explores exact soliton solutions of the nonlinear Jaulent-Miodek Hierarchy (NLJMH) equation in a fractional context using the Riccati-Bernoulli sub-ODE method in conjunction with Bäcklund transformation. To generalize the model to the fractional sense, we use the conformable fractional derivative, which enables us to describe nonlinear wave dynamics with further generalization and flexibility. The derived solutions are solitary wave structures like kink-type solitons and periodic traveling waves. To help visualize their behaviour, we show graphical representations in both 3D and 2D forms. The 2D plots indicate the impact of the fractional-order parameter (<i>α</i>), which shows how the fractional variation affects the profiles of the solutions. In the meantime, the 3D plots illustrate the behavior at integer-order cases, demonstrating the change in dynamical aspects. In addition to the construction of soliton solutions, the system has been studied by a Hamiltonian analysis that examines the underlying energy structure and by chaotic analysis to understand the sensitivity and nonlinear complexity of the dynamics. These integrated methods give a better insight into the evolution, propagation, and interaction of solitons in the fractional Jaulent-Miodek Hierarchy framework. These findings highlight the fact that the combination of sophisticated mathematical techniques Riccati-Bernoulli sub-ODE approach, Bäcklund transformation, and fractional calculus provides a potent and effective approach to finding a wide range of exact solutions to nonlinear evolution equations. The approach is relevant not only to the capture of kink solitons and periodic traveling waves but can also provide insights into their physical significance and stability properties and is thus of great importance to other areas of application like optics, fluid dynamics, plasma physics, geophysics and signal processing.</p>