The conservation laws of the Levi equation are presented.Two types of symmetry of the Levi equationhierarchy are deduced.Further it is proved that these symmetries construct an infinite-dimensional Lie algebra.
A negative KdV-mKdV hierarchy is presented through the KdV-mKdV operator.The generalized Wronskian solution to the negative KdV-mKdV equation is obtained.Some soliton-like solutions and a complexiton solution are pres...A negative KdV-mKdV hierarchy is presented through the KdV-mKdV operator.The generalized Wronskian solution to the negative KdV-mKdV equation is obtained.Some soliton-like solutions and a complexiton solution are presented explicitly as examples.展开更多
In this paper,a non-isospectral differential-difference Kadomtsev-Petviashvilli equation (n-DΔKPE) ispresented.Then,the Casoratian solutions of the n-DΔKPE are obtained by generalizing Casoratian conditions of theno...In this paper,a non-isospectral differential-difference Kadomtsev-Petviashvilli equation (n-DΔKPE) ispresented.Then,the Casoratian solutions of the n-DΔKPE are obtained by generalizing Casoratian conditions of thenon-isospectral DΔKPE,single-soliton solution is also derived by using Hiorta's method.展开更多
2N + 1-soliton solutions of Boussinesq-Burgers equation are obtained by using the Hirota bilinear derivative method and the perturbation technique.Further,we give the graphs of corresponding three-and five-soliton sol...2N + 1-soliton solutions of Boussinesq-Burgers equation are obtained by using the Hirota bilinear derivative method and the perturbation technique.Further,we give the graphs of corresponding three-and five-soliton solutions.展开更多
基金National Natural Science Foundation of China under Grant Nos.10871165 and 10671121
文摘The conservation laws of the Levi equation are presented.Two types of symmetry of the Levi equationhierarchy are deduced.Further it is proved that these symmetries construct an infinite-dimensional Lie algebra.
基金National Natural Science Foundation of China under Grant No.10371070the Special Found for Major Specialities of Shanghai Education CommitteeChina Postdoctoral Science Foundation
基金The project supported by National Natural Science Foundation of China under Grant Nos. 10371070 and 10671121 .Acknowledgments The authors exPress their thanks to Prof. D.J. Zhang and Dr. J.B. Bi for their good advices.
文摘为构造 Wronskian 条目的一个新方法被建议并且把方程用于微分差别的 Kadomtsev-Petviashvilli (D Δ K P ) 。到它的概括 Wronskiansolutions 被获得,包括合理答案和 Matveev 答案。
文摘A negative KdV-mKdV hierarchy is presented through the KdV-mKdV operator.The generalized Wronskian solution to the negative KdV-mKdV equation is obtained.Some soliton-like solutions and a complexiton solution are presented explicitly as examples.
基金National Natural Science Foundation of China under Grant No.10671121
文摘In this paper,a non-isospectral differential-difference Kadomtsev-Petviashvilli equation (n-DΔKPE) ispresented.Then,the Casoratian solutions of the n-DΔKPE are obtained by generalizing Casoratian conditions of thenon-isospectral DΔKPE,single-soliton solution is also derived by using Hiorta's method.
基金The NSF(11271008)of Chinathe First-class Discipline of University in Shanghai and the Shanghai Univ.Leading Academic Discipline Project(A.13-0101-12-004)
文摘2N + 1-soliton solutions of Boussinesq-Burgers equation are obtained by using the Hirota bilinear derivative method and the perturbation technique.Further,we give the graphs of corresponding three-and five-soliton solutions.