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Tian, Bo

Symbolic computation of Bäcklund transformation and exact solutions to a variant of Boussinesq model for water waves. (English) Zbl 0966.76077

Int. J. Mod. Phys. C 10, No. 6, 983-987 (1999).
Summary: We show how symbolic computer computations can be used to find a self-similar Bäcklund transform and a family of exact analytical solutions to a variant of Boussinesq model for water waves. Some explicit solutions (solitonic and rational) are presented.

Cited in 1 Document

MSC:

76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
68W30 Symbolic computation and algebraic computation
35Q35 PDEs in connection with fluid mechanics
35Q51 Soliton equations

Keywords:

symbolic computation; self-similar Bäcklund transform; exact analytical solutions; Boussinesq model; water waves; soliton
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References:

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