We consider the perturbed elliptic Sine–Gordon ODE with two positive parameters μ and λ, and show the existence of solutions which have 2n multiple interior layers for λ 1. We also determine the location of multiple interior layers as λ→∞.

An Ad-hoc Steering Committee of the ATS assembly on Critical Care was responsible for organizing this workshop and writing this official workshop report. Members of this steering committee are: Derek C. Angus, M.D., M.P.H., Co-chair, Gordon D. Rubenfeld, M.D., M.Sc., Co-chair, Mark S. Roberts, M.D., M.P.P., J. Randall Curtis, M.D., M.P.H., Alfred F. Connors, Jr., M.D., Deborah J. Cook, M.D., M....

Solving Nonlinear Klein-Gordon Equation with a Quadratic Nonlinear term using Homotopy Analysis Method H. Jafari , M. Saeidy, M. Arab Firoozjaee Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran. Abstract In this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy...

Some classical and quantum aspects of integrable defects are reviewed with particular emphasis on the behaviour of solitons in the sine-Gordon model.

The Robert Gordon University (RGU) participated in the Opinion Retrieval Task of the Trec 2007 Blog Track. At the core of the system we developed is a set of training documents labeled with respect to opinion. These documents are used to train a classifier in order to classify the documents that are relevant to the given Trec topics. However, a major limitation with these training documents is ...

Beginning with the observation that syntactic and semantic information often coincide (i.e., subjects are often agents, objects often patients), this study investigates the possibility that preference to resolve a sentence-initial pronoun to a syntactically prominent antecedent might actually be better explained in terms of preference for resolving to a semantically prominent antecedent. The st...

In this paper, we apply the modified homotopy perturbation method based on the Taylor series for solving the initial value problems of the two dimensional sine-Gordon equation. Due to the proposed modification , the approximate solution obtained is in accordance with the exact solution greatly. Numerical examples are presented to show its efficiency.

In this paper, we consider the Klein-Gordon-Schrödinger system with the higher order Yukawa coupling in R, and prove the local and global wellposedness in L × H. The method to be used is adapted from the scheme originally by Colliander J., Holmer J., Tzirakis N. [8] to use the available L conservation law of u and control the growth of n via the estimates in the local theory.

In this paper the interaction of attosecond laser pulses with matter is investigated. The scattering and potential motion of heat carriers as well as the external force are considered. Depending on the ratio of the scatterings and potential motion the heat transport is described by the thermal forced Klein-Gordon or thermal modified telegraph equation. For thermal Heisenberg type relation V τ ∼...