Conservation laws of some differential equations in fiance are studied in this paper. This method does not involve the use or existence of a variational principle. As an alternative, linearize the given equation and f...Conservation laws of some differential equations in fiance are studied in this paper. This method does not involve the use or existence of a variational principle. As an alternative, linearize the given equation and find adjoint equation of the linearized equation, the conservation laws can be constructed directly from the symmetries and adjoint symmetries of the associated linearized equation and its adjoint equation.展开更多
This paper introduces an effective method for seeking local conservation laws of general partial differential equations （PDEs）. The well-known variational principle does not involve in this method. Alternatively, th...This paper introduces an effective method for seeking local conservation laws of general partial differential equations （PDEs）. The well-known variational principle does not involve in this method. Alternatively, the conservation laws can be derived from symmetries, which include t/he symmetries of t/he associated linearized equation of t/he PDEs, and the adjoint symmetries of the adjoint eqUation of the PDEs.展开更多
基金the National Natural Science Foundation of China under
文摘Conservation laws of some differential equations in fiance are studied in this paper. This method does not involve the use or existence of a variational principle. As an alternative, linearize the given equation and find adjoint equation of the linearized equation, the conservation laws can be constructed directly from the symmetries and adjoint symmetries of the associated linearized equation and its adjoint equation.
基金The project supported by National Natural Science Foundation of China under Grant Nos. 10272021 and 10572021
文摘This paper introduces an effective method for seeking local conservation laws of general partial differential equations （PDEs）. The well-known variational principle does not involve in this method. Alternatively, the conservation laws can be derived from symmetries, which include t/he symmetries of t/he associated linearized equation of t/he PDEs, and the adjoint symmetries of the adjoint eqUation of the PDEs.
