Multiple soliton solutions of some conformable fractional nonlinear models using Sine-Cosine method

In this work, I used the Sine-Cosine approach to examine a few conformable fractional partial nonlinear differential equations and discovered a wide range of generalized solitary and periodic solutions with unique physical features. The answers include symmetric periodic soliton solution, bright soliton, water wave soliton and diffraction peak like soliton solutions. The generalization, significance, and mathematical formulation of the equations are my main concerns. The importance of considering and using these equations stems from the complexity of nonlinear physical models from a dynamical point of view. Finally, by taking into consideration the fractional operator with conformable derivative, I provide the fundamental solution to the conformable nonlinear new Hamiltonian amplitude equation and the conformable Heisenberg ferromagnetic spin chain model. The solutions to the former are crucial to understanding nonlinear wave propagation of nonlinear optics and quantum optics, among other topics. Since the latter's answers explain the non-linear properties of magnets, they are essential to understanding contemporary magnet theory.