In the paper we derive infinitely many conservation laws for the ABS lattice equations from their Lax pairs. These conservation laws can algebraically be expressed by means of some known polynomials. We also show that H1, H2, H3, Q1, Q2, Q3 and A1 equation in ABS list share a generic discrete Riccati equation.
A bilinear form of a nonisospectral differential-difference equation related to the Ablowitz–Ladik (AL) spectral problem is derived by a transformation of dependent variables. Exact solutions to the resulting bilinear equation are found. The [Formula: see text]-soliton-like solutions and the double Casoratian solutions are derived by means of Hirota’s direct method and the double Casoratian technique, respectively. Moreover, the connection between those two classes of solutions is explored.
ABSTRACT* In order to obtain required special gear design analysis software, using the characteristic function of general software AutoCAD built-in VBA. Research mainly includes two parts, the design process of complex calculation and graph drawing, finally, it will obtain the friendly interface development system through the corresponding parameter input, the background design and calculation. The software after debugging and running and the corresponding test and analysis, has reached the expected requirements of design, and has good human-machine interface, and stable running.
THE RESEARCH CONTENT RESEARCH CONTENTAutoCAD is popular and is due to the advantages of in terms of design, more important what is Autodesk company consider the software upgrade space, adding the application in software interface, so the programmer can design a targeted application. There are commonly secondary development design tools with VBA, Visual LISP and Object ARX, etc. With these tools, we can develop the need of the program with system level and application level. [1][2][3][4][5] Using Hertz contact theory, considering that there isn't gear pitting, If we know gear load, gear effective width, gear ratio, material constant, mechanical parameters and the permissible exposure limits profit. We conduct a preliminary design mainly on the basis of the theory of tooth surface contact strength. and, design the gear module that depend on the pre-selected number of teeth. Thus, we can get some gear parameters such as gear dividing circle diameter. The design formula(1) that we mainly use can be expressed as: [7]
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