Conservation laws for partial differential equations based on the polynomial characteristic method
Yi Tian, Kang‐Le Wang
Abstract
In this paper, the direct construction method combined with the differential polynomial characteristic set algorithm is used to complete conservation laws of PDE. The process of the direct construction method is to solve a system of linear determining equations, which is not easy to be solved. This paper uses the differential polynomial characteristic set algorithm to overcome the shortcoming, and constructs an explicit conservation law.
Topics & Concepts
Conservation lawSet (abstract data type)PolynomialPartial differential equationProcess (computing)MathematicsApplied mathematicsComputer scienceDifferential equationMathematical optimizationMathematical analysisOperating systemProgramming languageNonlinear Waves and SolitonsModel Reduction and Neural NetworksMeteorological Phenomena and Simulations