This paper, deals with the (2+1)-dimensional complex three coupled nonlinear Maccari’s model (3-CCME) by utilizing recently presented modified new Kudryashov method (mNKM). The focus of this article is to obtain non-topological soliton solution 3-CCME applying mKNM method, which has not been applied before investigated problem. Applying proposed successfully, besides problem, breather-like type...

New two-mode version of the generalized Burger–Huxley equation is derived using Korsunsky’s operators. The new model arises in applications nerve fibers and liquid crystals, it describes interaction two symmetric waves moving simultaneously same direction. Solitary wave solutions types kink-soliton, singular-kink-soliton singular-periodic are obtained to this by means simplified bilinear method...

In this article, the exact solutions of stochastic conformable Broer–Kaup equations with derivatives which describe bidirectional propagation long waves in shallow water are obtained using modified exponential function method and generalized Kudryashov method. These consist hyperbolic, trigonometric, rational solutions, respectively. This shows that proposed methods competent sufficient. additi...