Math. Model. Nat. Phenom.
Volume 17, 2022
|Number of page(s)||10|
|Published online||03 February 2022|
Nonlocal symmetry and interaction solutions for the new (3+1)-dimensional integrable Boussinesq equation
College of Science, University of Shanghai for Science and Technology,
200093, PR China.
* Corresponding author: email@example.com
Accepted: 28 December 2021
The nonlocal symmetry of the new (3+1)-dimensional Boussinesq equation is obtained with the truncated Painlevé method. The nonlocal symmetry can be localized to the Lie point symmetry for the prolonged system by introducing auxiliary dependent variables. The finite symmetry transformation related to the nonlocal symmetry of the integrable (3+1)-dimensional Boussinesq equation is studied. Meanwhile, the new (3+1)-dimensional Boussinesq equation is proved by the consistent tanh expansion method and many interaction solutions among solitons and other types of nonlinear excitations such as cnoidal periodic waves and resonant soliton solution are given.
Mathematics Subject Classification: 34A05 / 35Q51 / 37K40
Key words: New integrable (3+1)-dimensional Boussinesq equation / nonlocal symmetry / consistent tanh expansion method / interaction solution
© The authors. Published by EDP Sciences, 2022
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