Approximate symmetry and exact solutions of the singularly perturbed Boussinesq equation. (English) Zbl 07261233

Summary: In this paper, the Lie approximate symmetry analysis is applied to investigate new exact solutions of the singularly perturbed Boussinesq equation. The tanh-function method, is employed to solve some of the obtained reduced ordinary differential equations. We construct new analytical solutions with small parameter which is effectively obtained by the proposed method.


35B06 Symmetries, invariants, etc. in context of PDEs
76M60 Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics
58J70 Invariance and symmetry properties for PDEs on manifolds
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