In oceanography, acoustics and hydrodynamics: investigations on an extended coupled (2+1)-dimensional Burgers system. (English) Zbl 07851823
Summary: The paper Gao, Guo & Shan, Chin. J. Phys. 70 (2021) 264 has investigated an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics. However, studies on that system can be more complete. Therefore, for that system, we get the same bilinear forms through a different method, i.e., the Hirota method, and construct two sets of the similarity reductions with symbolic computation. Our similarity reductions depend on the constant coefficients in that system.
MSC:
| 65Mxx | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems |
Keywords:
oceanography; acoustics; hydrodynamics; extended coupled (2+1)-dimensional Burgers system; Hirota method; symbolic computation; bilinear forms; similarity reductionsReferences:
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