Volume 43 Issue 1
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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
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

Invariant Algebraic Surfaces of the Vallis System

doi: 10.21656/1000-0887.420112
  • Received Date: 2021-04-28
  • Accepted Date: 2021-06-22
  • Rev Recd Date: 2021-06-22
  • Available Online: 2021-12-04
  • Publish Date: 2022-01-01
  • 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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