[PDF] Top 20 Bounded solutions for the nonlinear wave equation

... of a solution of problem (.) in the space H reduces the problem to a situation where A – is a compact operator. In Section , we introduce a functional I defined on E whose critical points and weak solutions of ... See full document

... in a bounded domain with boundary conditions (1.2)-(1.3). In that article, they proved that the energy decays with the same rate of decay of the relaxation function. This latter result improved an earlier one by ... See full document

... this equation and constructed some new solutions which are not found in the previous ...offers solutions with free parameters that might be imperative to explain some intricate physical ...exact ... See full document

... travelling wave solutions of system ...bifurcation solutions of equation ...reduce equation (1.5) into an equivalent system of two nonlinear algebraic ... See full document

... of solutions for semilinear damped wave equations in R N with noncompactly supported initial data or in the energy space, in where the nonlinear term f(u) = |u| p or f(u) = 0 is too special; some ... See full document

... fourth-order wave equations appearing in elastoplastic-microstructure ...of solutions to the initial boundary problem of the equation with weak damping term ∂u ∂t ; see also Messaoudi [] for ... See full document

... Abstract: Nonlinear mathematical models and their solutions attain much attention in soliton ...travelling wave solutions of foam drainage equation and NLEE of fourth ...these ... See full document

... Ikehata, On global solutions and energy decay for the wave equations of the Kirchhoff type with nonlinear damping terms, J.. Messaoudi, Blow up in a nonlinearly damped wave equation, Mat[r] ... See full document

... Equation (.) arises in various applications, such as chemotaxis, population genetics, chemical reactor theory and the study of standing wave solutions of certain nonlinear Schrödinger ... See full document

... traveling wave solutions of nonlinear evolution equations which arise in engineering sciences, mathematical physics and real time application ...traveling wave solutions of the ... See full document

... traveling wave solutions to nonlinear partial differential equation, the complete discrimination system for polynomial and direct integral method are applied to the con- sidered ...traveling ... See full document

... Brenner and von Wahl 20 proved the existence and uniqueness of classical solutions to the initial boundary problem for 1.1 in Hilbert space. Pecher 21 investigated the existence and uniqueness of Cauchy problem ... See full document

... We know that viscoelastic materials have memory effects. These properties are due to the mechanical response influenced by the history of the materials. As these materials have a wide application in the natural science, ... See full document

... travelling wave solutions of system (4) we shall study the bifurcation solutions of equation ...reduce equation (7) into an equivalent system of four nonlinear algebraic ... See full document

... where q : Ω → R + is a bounded function. Under some assumptions, he showed the solution of (1.9) decays exponentially if g behaves like a linear function, whereas the decay is polynomially otherwise. For more ... See full document

... The case of a scalar equation has been studied by many authors, see de Figueiredo and Gossez [6], Fernandes et al. [10] and Fonda et al. [11]. More recently, some in- teresting results have been obtained by Gossez ... See full document

... travelling wave solutions of different types of Burger’s equations analytically using tan-cot function ...analysis. Nonlinear differential equations such as Burger’s equation have various ... See full document

... simple equation method to find the exact traveling wave solutions involving parameters of nonlinear evolution equations via the (1+1)- dimensional generalized shallow water-wave ... See full document

... for solutions starting in the unstable set is proved, but also under some appropriate assumptions on g and the initial data, a blow-up result with positive initial energy is ...global solutions u(t) to ... See full document

... GLOBAL CLASSICAL SOLUTIONS TO THE CAUCHY PROBLEM FOR A NONLINEAR WAVE EQUATION.. Universidade Federal Fluminense Instituto de MatemAtica- GAN.[r] ... See full document