| Citation: | YANG Jing, TAN Wenhui, WEI Zhouchao. Invariant Algebraic Surfaces of the Vallis System[J]. Applied Mathematics and Mechanics, 2022, 43(1): 84-93. doi: 10.21656/1000-0887.420112
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The Darboux polynomials and invariant algebraic surfaces of the Vallis system were investigated. In the proofs, the weighted homogeneous polynomials and the characteristic curve method were used to solve linear partial differential equations. Finally, 3 types of Darboux polynomials for the Vallis system were obtained under suitable conditions of parameters.
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