by using bifurcation theory of planar ordinary differential equations all different bounded travelling wave solutions of the generalized zakharov equation are classified in different parametric regions . in each of these parametric regions the exact explicit parametric representation of all solitary , kink (anti kink) and periodic wave solutions as well as their numerical simulation and thei...

this paper is devoted to study of a partial differential equation governing panel motion in supersonic flow. this pde can be transformed to an ode by means of a galerkin method. here by using a criterion which is closely related to the routh-hurwitz criterion, we investigate the mentioned transformed ode from hopf bifurcation point of view. in fact we obtain a region for existence of simple hop...

based on two-dimensional plane stress and bifurcation functional from hill's general theory in polar coordinate the critical condition for elastic wrinkling of the flange of a circular blank ( the wave number in the flange and wrinkled area) during the deep-drawing process are obtained analyticaly to improve the previous given results. in this analytical study, the elastic limitation of the mat...

In this paper, the global dynamic behaviors of an SEIQS epidemic system with a nonlinear incidence rate are investigated. At first, the stabilities of equilibria for the system are analyzed. Thus, the codimension-1 bifurcations including transcritical bifurcation, saddle-node bifurcation, Hopf bifurcation are discussed using bifurcation theory. In particular, codimension2 bifurcation (Bogdanov-...