Ample soliton waves for the crystal lattice formation of the conformable time-fractional (N+1) Sinh-Gordon equation by the modified Khater method and the Painleve property

摘要

This research paper studies the soliton waves of the (N + 1) dimensional time-fractional conformable Sinh-Gordon equation by the implementation of the modified Khater method. This equation studies surfaces of constant negative curvature, such as the Gauss-Codazzi equation for surfaces of curvature. Using the Painleve property is employed to support the modified Khater method in formulating of abundant traveling wave solutions. The performance of the used technique emphasizes the power, effect, and ability for applying to many nonlinear evolution equations.