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Chin. Phys. B, 2024, Vol. 33(11): 110206    DOI: 10.1088/1674-1056/ad7fd1
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Abundant invariant solutions of extended (3+1)-dimensional KP-Boussinesq equation

Hengchun Hu(胡恒春)† and Jiali Kang(康佳丽)
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract  Lie group analysis method is applied to the extended (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation and the corresponding similarity reduction equations are obtained with various infinitesimal generators. By selecting suitable arbitrary functions in the similarity reduction solutions, we obtain abundant invariant solutions, including the trigonometric solution, the kink-lump interaction solution, the interaction solution between lump wave and triangular periodic wave, the two-kink solution, the lump solution, the interaction between a lump and two-kink and the periodic lump solution in different planes. These exact solutions are also given graphically to show the detailed structures of this high dimensional integrable system.
Keywords:  extended (3+1)-dimensional KP-Boussinesq equation      Lie group method      similarity reduction      invariant solution  
Received:  18 August 2024      Revised:  24 September 2024      Accepted manuscript online:  26 September 2024
PACS:  02.30.Ik (Integrable systems)  
  05.45.Yv (Solitons)  
  02.30.Jr (Partial differential equations)  
Corresponding Authors:  Hengchun Hu     E-mail:  hhengchun@163.com

Cite this article: 

Hengchun Hu(胡恒春) and Jiali Kang(康佳丽) Abundant invariant solutions of extended (3+1)-dimensional KP-Boussinesq equation 2024 Chin. Phys. B 33 110206

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