28086202
A new elliptic equation rational expansion method and its application to the shallow long wave approximate equations
A new elliptic equation rational expansion method is presented by a new general ansatz, which is a direct and unified algebraic method for constructing multiple and more general travelling wave solution for nonlinear partial differential equation and implemented in a computer algebraic system. The proposed method is applied to consider the shallow long wave approximate equation and obtains rich new families of the exact solutions, including rational form solitary wave, rational form triangular periodic, rational form Jacobi and Weierstrass doubly periodic solutions.
27234161
Two-dimensional symmetry reduction of (2 + 1)-dimensional nonlinear Klein-Gordon equation
In this paper, one-dimensional optimal system of group invariant solutions of (2+1)-dimensional Klein-Gordon system is constructed. Then the classification of group invariant solutions is given out and the corresponding two-dimensional symmetry reduced equations are obtained. At last some symmetry transformations are gained in detail. Especially, we obtain the most general solution from a given solution by use of six variable one-parameter subgroups transformations.
12162530
A new general algebraic method with symbolic computation to construct new doubly-periodic solutions of the (2 + 1)-dimensional dispersive long wave equation
For constructing more new exact doubly-periodic solutions in terms of rational form Jacobi elliptic function of nonlinear evolution equations, a new direct and unified algebraic method, named Jacobi elliptic function rational expansion method, is presented and implemented in a computer algebraic system. Compared with most of the existing Jacobi elliptic function expansion methods, the proposed method can be expected to obtain new and more general formal solutions. We choose a (2+1)-dimensional dispersive long wave equation to illustrate the method.
41322043
New exact travelling wave solutions for the shallow long wave approximate equations
Based upon a generally projective Riccati equation method, which is a direct and unified algebraic method for constructing more general form travelling wave solutions of nonlinear partial differential equations and implemented in a computer algebraic system, we consider the shallow long wave approximate equations. New and more general form solutions are obtained, including kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions. The properties of the new formal solitary wave solutions are shown by some figures.
20461063
The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems
The function cascade synchronization scheme for the hyperchaotic systems is proposed to make the states of two identical the hyperchaotic systems both with and without uncertain parameters asymptotically synchronized. Based on Lyapunov stability theory and the proposed scheme, the Lu system and Chen hyperchaotic system with and without uncertain parameters are chosen to achieve the function cascade synchronization simultaneously. Numerical simulations are used to verify the effectiveness and feasibility of the presented control scheme.
18967560
Generalized Cascade Synchronization of Discrete-time Henon-like Map
This Letter addresses the generalized cascade synchronization problem of discrete-time hyperchaotic systems. By choosing a general kind of proportional scaling error functions and based on rigorous control theory, we take the discrete-time Henon-like map as a example to achieve the generalized cascade synchronization. Numerical simulations are used to show the effectiveness of the proposed technique.
137294531
Improved glass-PDMS-glass device technology for accurate measurements of electro-osmotic mobilities
We demonstrate an improved glass-PDMS-glass device technology based on reactive ion etch of a thin PDMS layer for microfluidic channel forming and glass to glass bonding. Reactive ion etch process has been optimised to achieve a high etch rate and a minimum surface roughness. Typically, microfluidic channels of 2.5µm height and 50µm width are obtained on a wafer scale, providing a patternable glass-liquid interface larger than 95% of the total channel wall surface. To illustrate the capability of this technique, electrokinetic characterization of soda-lime glass (D-263) surfaces are presented.
20054988
Elastic Algorithm: A New Path Planning Algorithm About Auto-navigation in 3D Virtual Scene
Elastic Algorithm proposed in this paper is a new and fast path planning algorithm to solve the problem of auto-navigation in 3D virtual scene. First, with a grid model based representation of virtual environments, different obstacles are assigned different color in the projection map of scene and their encasing boxes are stored to provide local path. Then, Elastic Algorithm is designed to optimize the basic path. It can be applied to complex condition and moving object, and has high stability and efficiency in solving the path planning problem.
9824531
A Reverse Glue Approach to Automated Construction of Multi-Piece Molds
Mold design can be a difficult, time-consuming process. Determining how to split a cavity into multiple mold pieces (e.g., core, cavity) manually can be a tedious pro This paper focuses on the mold construction step of the automated mold design pr By investigating glue operations and its relations with parting faces, an approach b on a new reverse glue operation is presented. The key to the reverse glue operatio generate parting faces. A problem definition of parting face generation for a regio provided. Correspondingly, three face generating criteria are identified. Based on parting lines of a region, our algorithms to generate the parting faces are presented. mold construction algorithms for two-piece molds and multi-piece molds are also sented with brief discussions. Some industrial examples are provided which illustra efficiency and effectiveness of our approach. We tested our mold designs by fabri stereolithography mold inserts (a rapid tooling method) and molding parts. @DOI: 10.1115/1.1603308 #
17024398
Runtime parallel incremental scheduling of DAGs
A runtime parallel incremental DAG scheduling approach is described in this paper. A DAG is expanded incrementally, scheduled, and executed on a parallel machine. A DAG scheduling algorithm is parallelized to scale to large systems. In this approach, a large DAG can be executed without consuming large amount of memory space. Inaccurate estimation of task execution time and communication time can be tolerated. This runtime approach can also execute dynamic DAGs. Implementation of this parallel incremental system demonstrates the feasibility of this approach. Preliminary results show that it is superior to other approaches.
206370432
An accurate sampling-based method for approximating geometry
We present a sampling-based method for approximating the boundary of a geometry defined by various geometric operations. Based on a novel adaptive sampling condition, we first construct volumetric grids such that an error-minimizing point can be found in each cell to capture all the geometric objects inside the cell. We then construct a polygonal model from the grid. We guarantee the boundary approximation has the same topology as the exact surfaces, and the maximum approximation error from the exact surfaces is bounded by a user specified tolerance. Our method is robust and easy to implement. We have applied it in various applications such as remeshing of polygonal models, Boolean operations, and offsetting operations. We report experimental results on a variety of CAD models.