Abstract
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 Painlevé 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.
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