In this work we apply the tanh-coth method and the tan-cot method to study some nonlinear coupled equations. Four nonlinear coupled equations that appear in a variety of scientific applications are investigated. We derive soliton, singular solitons and periodic wave solutions for these coupled equations. The obtained results show that these four coupled equations reveal richness of explicit sol...

This special session focuses on the dynamic properties of fluids and nonlinear waves arsing in systems such as Euler equations, kinetic equations, nonlinear Schrodinger equations, nonlinear wave equations etc. The main aspects include the global well-posedness of solutions, existence, stability/instability and nearby local qualitative structures of special states etc. The theory and the methods...

We develop the theory of hybrid fractional differential equations with the complex order $thetain mathbb{C}$, $theta=m+ialpha$, $0<mleq 1$, $alphain mathbb{R}$, in Caputo sense. Using Dhage's type fixed point theorem for the product of abstract nonlinear operators in Banach algebra; one of the operators is $mathfrak{D}$- Lipschitzian and the other one is completely continuous, we prove the exis...