we introduce a new solution for kawahara-kdv equations. the lie group analysis is used to carry out the integration of this equations. the similarity reductions and exact solutions are obtained based on the optimal system method.

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . x Chapter

a Department of Microbiology and Plant Biology, and Center for Spatial Analysis, University of Oklahoma, Norman, OK 73019, USA b Rubber Research Institute, Chinese Academy of Tropical Agricultural Sciences, Danzhou, Hainan, 571737, China c Applied Geosolutions, Durham, NH, 03857, USA d Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing, 100101,...

vii Abstrakt (Abstract in Czech) viii

We analyze the geometry of a rotating disk with a tangential acceleration in the framework of the theory of Special Relativity, using the kinematic linear differential system that verifies the relative position vector of time-like curves in a Fermi reference. A numerical integration of these equations for a generic initial value problem is made up and the results are compared with those obtaine...

vii 1 Network System Survivability 1 1.1 Survivability Concepts 1 1.2 The Survivable Network Analysis Method 2 2 Sentinel: The Case Study Subsystem 5 3 Applying the Survivable Network Analysis Method to Sentinel 7 3.1 Method Application 7 Step 1: System Definition 8 Step 2: Essential Capability Definition 10 Step 3: Compromisable Capability Definition 10 Step 4: Survivability Analysis 12 4 Less...

This paper presents a summary of the new semi-analytical integration method presented in [10] for von Mises elastoplasticity model with combined linear isotropic-kinematic hardening within a small deformation range. Solutions for the case of constant strain rate and constant stress rate assumptions are also presented. Furthemore, it is shown how the general solution reduces to the particular ca...

vii

A simple result for the general solution of a monopole loaded by a dielectric hemisphere is presented. The result can be calculated without the need for any numerical integration and, thus, it is computationally very efficient. In addition, the result is very easy to implement and should be useful to the design engineer.

In this article, the authors construct optimal-by-order quadrature formulae for integration of fast oscillatory functions in interpolational classes C 1 The construction of eecient formulae for numerical integration of fast oscillatory functions is based on the application of the residual method and the method of quasi-solutions. Both cases, weak and strong oscillations, are considered. Results...