Lump-type solutions of a generalized Kadomtsev–Petviashvili equation in(3+1)-dimensions

Through the Hirota bilinear formulation and the symbolic computation software Maple, we construct lump-type solutions for a generalized(3+1)-dimensional Kadomtsev-Petviashvili(KP) equation in three cases of the coefficients in the equation. Then the sufficient and necessary conditions to guarantee the analyticity of the resulting lump-type solutions(or the positivity of the corresponding quadratic solutions to the associated bilinear equation) are discussed. To illustrate the generality of the obtained solutions, two concrete lump-type solutions are explicitly presented, and to analyze the dynamic behaviors of the solutions specifically, the three-dimensional plots and contour profiles of these two lump-type solutions with particular choices of the involved free parameters are well displayed.

A study on medical rescue model of trans-regional emergency response linkage and its application

This paper explores medical rescue model of trans-regional emergency response which shall be suited to administrative border areas for the sake of more efficient performance of emergency medical rescue in border areas. Benefited from the existing emergency medical resources in the regional cooperation and the grid management theory, this paper establishes the emergency rescue mechanism featuring'information exchange, resource sharing, and authorized command' by analyzing the shortcomings of current emergency management mechanism in the border areas around Yinchuan. A linkage mechanism should also be set up between two parties (multiple parties) in the border areas for a better command and dispatch platform, as well as drawing up emergency response plan and organizing trans-regional emergency drills. The solution lies in the more efficient treatment of emergency response in border areas. Taking response time for emergency call as the sole criterion, this paper suggests on the establishment of'integrated, coordinated, linked, and effective' medical rescue mode of regional emergency response linkage in a multi-level and grid-based way and an emergency rescue mechanism with characteristics of'information exchange, resource sharing, and authorized command'. It is of great significance to improve emergency response time in the border areas around Yinchuan and utilization of emergency rescue resources, to enhance coordinating work of emergency systems in different administrative regions, and to achieve an emergency response network seamlessly connected with different regions.