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351.
S. Melillo 《Journal of Mathematical Analysis and Applications》2010,372(2):423-983
Some bacteria like Listeria monocytogenes, Shigella and Rickettsia Rickettsii can move inside the host cell thanks to an actin tail. In this paper a one-dimensional model for the motion of these bacteria, introduced by B. Bazaliy, Y. Bazaliy, and A. Friedman (2007) in [2], is studied. In particular, the model is a system of partial differential equation with two moving boundaries for which we prove the existence of a travelling wave solution. 相似文献
352.
353.
Yan-Zhi Duan 《Journal of Mathematical Analysis and Applications》2009,351(1):186-613
In this paper, we investigate the asymptotic behavior of classical solutions of reducible quasilinear hyperbolic systems with characteristic boundaries. Under some suitable assumptions, we prove that the solution approaches a combination of Lipschitz continuous and piecewise C1 traveling wave solution. As an application, we apply the result to the equation for time-like extremal surfaces in the Minkowski space-time R1+(1+n). 相似文献
354.
Christian Engels 《Operations Research Letters》2009,37(2):83-84
We show that the 2-opt heuristic for the traveling salesman problem achieves an expected approximation ratio of roughly for instances with n nodes, where the edge weights are drawn uniformly and independently at random. 相似文献
355.
Bifurcations and Exact Solutions of the Raman
Soliton Model in Nanoscale Optical Waveguides
with Metamaterials 下载免费PDF全文
In this paper, we study Raman soliton model in nanoscale optical waveguides with metamaterials, having
polynomial law non-linearity. By using the bifurcation theory method of dynamical systems to the equations of $\phi(\xi)$, under 24 different parameter conditions, we obtain bifurcations of phase portraits and different traveling wave solutions including periodic solutions, homoclinic and heteroclinic solutions for planar dynamical system of the Raman soliton model. Under different parameter conditions, 24 exact explicit parametric representations of the traveling wave solutions are derived. The dynamic behavior of these traveling wave solutions are meaningful and helpful for us to understand the physical structures of the model. 相似文献
356.
ABSTRACT We consider a reaction-diffusion equation of bistable type in a square cylinder whose diameter varies with Neumann boundary conditions in dimension 2 and 3. We prove the nonexistence of generalized traveling wave solution of this equation when the diameter is suddenly strongly increased. At the same time, we prove that the solution of the equation with an exponentially decreasing initial condition cannot pass over a certain threshold far enough in the direction of propagation. The proof is divided in two steps. First, we extend the solution in the cylinder to a solution of the same equation in the half space. Then we overestimate it using Green's functions. 相似文献
357.
358.
359.
Mohammed K. Elboree 《Applied mathematics and computation》2012,218(10):5966-5973
The repeated homogeneous balance is used to construct a new exact traveling wave solution of the Kadomtsev-Petviashvili (KP) like equation coupled to a Schrödinger equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. Many new exact traveling wave solutions are successfully obtained, which contain rational and periodic-like solutions. This method is straightforward and concise, and it can be applied to other nonlinear evolution equations. 相似文献
360.
In the m-Capacitated Peripatetic Salesman Problem (m-CPSP) the aim is to determine m Hamiltonian cycles of minimal total cost on a graph, such that all the edges are traversed less than the value of their capacity. This article introduces three formulations for the m-CPSP. Two branch-and-cut algorithms and one branch-and-price algorithm are developed. Tests performed on randomly generated and on TSPLIB Euclidean instances indicate that the branch-and-price algorithm can solve instances with more than twice the size of what is achievable with the branch-and-cut algorithms. 相似文献