Supported by the Fundamental Research Funds for the Central Universities;the Research Funds of Renmin University of China under Grant No. 07XNA013
In this paper, we apply the source generation procedure to the coupled 2D Toda lattice equation (also called Pfaffianized 2D Toda lattice), then we get a more generalized system which is the coupled 2D Toda lattice ...
Project supported by the National Natural Science Foundation of China (Grant Nos. 10932009 and 11172233);the Northwestern Polytechnical University Foundation for Fundamental Research, China (Grant No. GBKY1034);the State Administration of Foreign Experts Affairs of China, and the Chunhui Plan of the Ministry of Education of China
Based on the Grammian and Pfaffian derivative formulae, Grammian and Pfaffian solutions are obtained for a (3+1)-dimensional generalized shallow water equation in the Hirota bilinear form. Moreover, a Pfaffian exte...
Based on the Pfaffian derivative formulae,a Grammian determinant solution for a(3+1)-dimensionalsoliton equation is obtained.Moreover,the Pfaffianization procedure is applied for the equation to generate a newcoupled ...
Project supported by the National Key Basic Research Project of China (2004CB318000), the National Science Foundation of China (Grant No 10371023) and Shanghai Shuguang Project of China (Grant No 02SG02).
This paper constructs more general exact solutions than N-soliton solution and Wronskian solution for variable- coefficient Kadomtsev-Petviashvili (KP) equation. By using the Hirota method and Pfaffian technique, it...