For the shallow water waves: bilinear-form and similarity-reduction studies on a Boussinesq-Burgers system
DOI10.1007/s10773-024-05715-7zbMath1545.35108MaRDI QIDQ6589191
Bo Tian, Yuan Shen, Tian-Yu Zhou, Chunhui Feng, Xiao-Tian Gao
Publication date: 19 August 2024
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
similarity reductionsshallow water wavesBoussinesq-Burgers systembilinear forms through the Hirota method
Symbolic computation and algebraic computation (68W30) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)
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