Optimal system, symmetry reductions and exact solutions of the (2 + 1)-dimensional seventh-order Caudrey–Dodd–Gibbon–KP equation

Mengyao QIN, Yunhu WANG, Man Wai YUEN

Research output: Contribution to journalArticlespeer-review

Abstract

In this paper, the (2+1)-dimensional seventh-order Caudrey–Dodd–Gibbon–KP equation is investigated through the Lie group method. The Lie algebra of infinitesimal symmetries, commutative and adjoint tables, and one-dimensional optimal systems is presented. Then, the seventh-order Caudrey–Dodd–Gibbon–KP equation is reduced to nine types of (1+1)-dimensional equations with the help of symmetry subalgebras. Finally, the unified algebra method is used to obtain the soliton solutions, trigonometric function solutions, and Jacobi elliptic function solutions of the seventh-order Caudrey–Dodd–Gibbon–KP equation. Copyright © 2024 by the authors.
Original languageEnglish
Article number403
JournalSymmetry
Volume16
Issue number4
DOIs
Publication statusPublished - Mar 2024

Citation

Qin, M., Wang, Y., & Yuen, M. (2024). Optimal system, symmetry reductions and exact solutions of the (2 + 1)-dimensional seventh-order Caudrey–Dodd–Gibbon–KP equation. Symmetry, 16(4), Article 403. https://doi.org/10.3390/sym16040403

Keywords

  • Lie group method
  • Optimal system
  • Caudrey–Dodd–Gibbon–KP equation

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