Bilinear Bäcklund transformation, fission/fusion and periodic waves of a \((3+1)\)-dimensional Kadomtsev-Petviashvili equation for the shallow water waves
DOI10.1007/s10773-024-05565-3zbMath1547.35545MaRDI QIDQ6548497
Bo Tian, Chunhui Feng, Xiao-Tian Gao
Publication date: 1 June 2024
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
symbolic computationHirota methodshallow water wavesbilinear Bäcklund transformation\((3+1)\)-dimensional Kadomtsev-Petviashvili equationperiodic-wave solutionsfission/fusion solutions
Symbolic computation and algebraic computation (68W30) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Positive solutions to PDEs (35B09)
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