On the convergence and numerical computation of two-dimensional fuzzy Volterra–Fredholm integral equation by the homotopy perturbation method

New closed-form soliton solutions for the tzitzeica dodd bullough equation arising nonlinear optics via three distinct re-liable approaches

“…Therefore, researchers have made a perform to ongoing research works and produce the new exact solitary wave solutions from nonlinear evolution equations. Accordingly, they developed numerous potential and useful techniques, such as, the homogeneous balance method [4], Hirota's bilinear method [5], the trial function method [6], the tanh-function method [7], the theta function method [8,9], the extended tanh-function method [10], the modified extended tanh-function method [11], the hyperbolic function method [12], the sine-cosine method [13], the inverse scattering transform [14], the Jacobi elliptic function expansion [15], the Homotopy perturbation methods [16], the auxiliary equation method [17], the first integral method [18], the modified Kudryashov method [19], the generalized Kudryashov method [20], the ( )…”