Higher order for the generalized BBM-burgers equation: existence and convergence results

Higher-Order for the Multidimensional Generalized BBM-Burgers Equation: Existence and Convergence Results

“…The two papers ( [8] and [3]) address the convergence of approximations conservation laws in the framework of measure-valued solutions. This technique was used in [9] in the prove from one the convergence results. The remainder of this paper is divided into four sections.…”

“…The BBM equation [2] is useful in that it describes approximately the unidirectional propagation of long waves in certain nonlinear dispersive systems. In [9] we studied the existence and convergence of the smooth solutions {u(x, t; δ, γ 1 , . .…”

Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin-Bona-Mahony-Burgers equation with dissipative term

“…There are many results concerning with the mathematical structure, such as the global existence and time-decay properties of solutions, of the generalized Benjamin-Bona-Mahony-Burgers equation with the dissipative terms (see , [22], [23], [24], Wang [49], Xu-Li [51] Zhao-Xuan [64] and so on). The model (1.1) is closely related to the following Benjamin-Bona-Mahony-Burgers equation…”

Decay rate of solutions of linear generalized Benjamin-Bona-Mahony-Burgers equation in multi dimensions

“…Kondo, C.M. Webler [8] also studied this equation in multi-space dimension. But all their results are just about time.…”