With the aid of computerized symbolic computation and Riccati equation rational expansion approach, some new and more general rational formal solutions to （2＋1）-dimensional Toda system are obtained. The method used...With the aid of computerized symbolic computation and Riccati equation rational expansion approach, some new and more general rational formal solutions to （2＋1）-dimensional Toda system are obtained. The method used here can also be applied to solve other nonlinear differential-difference equation or equations.展开更多
In this work, by means of a generalized method and symbolic computation, we extend the Jacobi elliptic function rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evo...In this work, by means of a generalized method and symbolic computation, we extend the Jacobi elliptic function rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evolution equations. To illustrate the effectiveness of our method, we take the （2＋ 1）-dimensional stochastic dispersive long wave system as an example. We not only have obtained some known solutions, but also have constructed some new rational formal stochastic Jacobi elliptic function solutions.展开更多
In this paper, an extended Jacobi elliptic function rational expansion method is proposed for constructing new forms of exact Jacobi elliptic function solutions to nonlinear partial differential equations by means of ...In this paper, an extended Jacobi elliptic function rational expansion method is proposed for constructing new forms of exact Jacobi elliptic function solutions to nonlinear partial differential equations by means of making a more general transformation. For illustration, we apply the method to the （2＋1）-dimensional dispersive long wave equation and successfully obtain many new doubly periodic solutions, which degenerate as soliton solutions when the modulus m approximates 1. The method can also be applied to other nonlinear partial differential equations.展开更多
Since reform and opening up were launched in 1978, China＇s civil law has made progress in terms of both values and systems. Specifically, the status of the individual as the subject of private law has been gradually ...Since reform and opening up were launched in 1978, China＇s civil law has made progress in terms of both values and systems. Specifically, the status of the individual as the subject of private law has been gradually established, the autonomy of private law as the cornerstone of civil law has been laid down, private interests and rights have been recognized and genuinely guaranteed, and the scientific nature of civil law has developed rapidly. However, there is still some room for improvement in degree of formal rationality of current civil law. Upholding the autonomy and formal and rational development of civil law is of great significance for Chinese society. At the same time, it is necessary to preserve a certain degree of openness in civil law in order to overcome some inherent defects in formal rational law.展开更多
基金The project supported by National Natural Science Foundation of China and the Natural Science Foundation of Shandong Province.
文摘With the aid of computerized symbolic computation and Riccati equation rational expansion approach, some new and more general rational formal solutions to （2＋1）-dimensional Toda system are obtained. The method used here can also be applied to solve other nonlinear differential-difference equation or equations.
基金The project partially supported by the State Key Basic Research Program of China under Grant No. 2004CB318000
文摘In this work, by means of a generalized method and symbolic computation, we extend the Jacobi elliptic function rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evolution equations. To illustrate the effectiveness of our method, we take the （2＋ 1）-dimensional stochastic dispersive long wave system as an example. We not only have obtained some known solutions, but also have constructed some new rational formal stochastic Jacobi elliptic function solutions.
文摘In this paper, an extended Jacobi elliptic function rational expansion method is proposed for constructing new forms of exact Jacobi elliptic function solutions to nonlinear partial differential equations by means of making a more general transformation. For illustration, we apply the method to the （2＋1）-dimensional dispersive long wave equation and successfully obtain many new doubly periodic solutions, which degenerate as soliton solutions when the modulus m approximates 1. The method can also be applied to other nonlinear partial differential equations.
文摘Since reform and opening up were launched in 1978, China＇s civil law has made progress in terms of both values and systems. Specifically, the status of the individual as the subject of private law has been gradually established, the autonomy of private law as the cornerstone of civil law has been laid down, private interests and rights have been recognized and genuinely guaranteed, and the scientific nature of civil law has developed rapidly. However, there is still some room for improvement in degree of formal rationality of current civil law. Upholding the autonomy and formal and rational development of civil law is of great significance for Chinese society. At the same time, it is necessary to preserve a certain degree of openness in civil law in order to overcome some inherent defects in formal rational law.
