Abstract In this article, we study the generalized q q -deformed sinh-Gordon equation analytically using new general form of Kudryashov’s approach and numerically finite difference method. We develop a Kudryashov method that contains more than one constant is used to give explanations for solutions are obtained. The nu...

This paper presents the functional expansion approach as a generalized method for finding traveling wave solutions of various nonlinear partial differential equations. The can be seen combination Kudryashov and G′/G solving methods. It allowed extension first to use second order auxiliary equations, and, at same time, it non-standard G′/G-solutions generated. is illustrated here on Dodd–Bulloug...

In this article, we investigate novel optical solitons solutions for the Lakshmanan–Porsezian–Daniel (LPD) equation, along with group velocity dispersion and spatio-temporal dispersion, via three altered analytical techniques. A variety of bright, singular, dark, periodic kink are constructed Kudryashov method, generalized tanh method Sardar-subequation method. The dynamical behavior extracted ...