Nonlinear evolution equations Double porosity Generalized Kudryashov expansion method L–S theory Normal mode Optical solutions Thermoelastic medium -Wright function -expansion method Adipocytokines Adiponectin Adomian decomposition method Adomian polynomials Analytical method Analytical solutions Anomalous diffusion Atangana–Baleanu (AB) fractional Complex variable Conformal mapping Curvilinear hole Dark and bright solitons Exact and approximate solutions Exact solutions Exact traveling wave solutions Exp Exp-function method Exponential solution Extended sub-equation (ESE) method Extended sub-equation method Extended tanh method