A combustion model which captures the interactions among nonlinear convection, chemical reaction and radiative heat transfer is studied. New phenomena are found with radiative heat transfer present. In particular, there is a weak detonation solution for each radiative heat loss coeecient. The speed of the weak detonation wave decreases as the heat loss coeecient increases and the detonation wav...

in this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (srlw) equation and the (3+1)-dimensional shallow water wave equations. solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions the physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. note t...

In this paper, we establish the existence and describe the global structure of traveling waves for a class of lattice delay differential equations describing cellular neural networks with distributed delayed signal transmission. We describe the transition of wave profiles from monotonicity, damped oscillation, periodicity, unboundedness and back to monotonicity as the wave speed is varied. We a...

In this talk, a homotopy-based multiple-variable method is proposed to investigate the interactions of fully-developed periodic traveling primary waves. This method does not depend upon any small physical parameters at all and thus is more general than the famous multiple-scale technique in perturbation methods. By means of this technique, it is found that, for a fully developed wave system, th...