Acknowledgement. The support of the National Natural Science Foundation of China (10571110), the Opening Fund of the State Key Laboratory of Structural Analysis for Industrial Equipment (GZ1017), and the National Natural Science Foundation of Shandong Province of China (ZR2010AZ003) are gratefully acknowledged.
The geometries of many problems of practical interest are created from circular or ellip- tic arcs. Arc boundary elements can represent these boundaries exactly, and consequently, errors caused by representing such ge...
Project supported by the National Natural Science Foundation of China (Grant No. 10571110);the Natural Science Foundation of Shandong Province of China (Grant Nos. ZR2009AM011 and ZR2010AZ003);the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20103705110003)
In this paper, based on the known first integral method and the Riccati sub-ordinary differential equation (ODE) method, we try to seek the exact solutions of the general Gardner equation and the general Benjamin-Bo...
Project supported by the National Natural Science Foundation of China(Grant Nos.10871117 and 10571110)
This paper studies the coupled Burgers equation and the high-order Boussinesq-Burgers equation. The Hirota bilinear method is applied to show that the two equations are completely integrable. Multiple-kink (soliton)...