TY - JOUR A2 - Toppan, Francesco AU - Bai, Tonglaga AU - Chaolu, Temuer PY - 2019 DA - 2019/07/18 TI - A Potential Constraints Method of Finding Nonclassical Symmetry of PDEs Based on Wu’s Method SP - 9272347 VL - 2019 AB - Solving nonclassical symmetry of partial differential equations (PDEs) is a challenging problem in applications of symmetry method. In this paper, an alternative method is proposed for computing the nonclassical symmetry of PDEs. The method consists of the following three steps: firstly, a relationship between the classical and nonclassical symmetries of PDEs is established; then based on the link, we give three principles to obtain additional equations (constraints) to extend the system of the determining equations of the nonclassical symmetry. The extended system is more easily solved than the original one; thirdly, we use Wu’s method to solve the extended system. Consequently, the nonclassical symmetries are determined. Due to the fact that some constraints may produce trivial results, we name the candidate constraints as “potential” ones. The method gives a new way to determine a nonclassical symmetry. Several illustrative examples are given to show the efficiency of the presented method. SN - 1687-9120 UR - https://doi.org/10.1155/2019/9272347 DO - 10.1155/2019/9272347 JF - Advances in Mathematical Physics PB - Hindawi KW - ER -