Tian, Bao-Dan; Qiu, Yan-Hong; Chen, Ning Exact solutions for a class of Boussinesq equation. (English) Zbl 1177.35183 Appl. Math. Sci., Ruse 3, No. 5-8, 257-265 (2009). Summary: Based on a new projective Riccati equations approach and Maple software, a class of nonlinear evolution equation, i.e. Boussinesq equation, is discussed in this paper. Some new explicit and exact solutions are obtained, such as solitary-wave-like solutions and periodic-like solutions etc. What’s more, most of the solutions are scarcely seen in the recent research. Cited in 2 Documents MSC: 35Q51 Soliton equations 35Q35 PDEs in connection with fluid mechanics 35A24 Methods of ordinary differential equations applied to PDEs 35C08 Soliton solutions 35B10 Periodic solutions to PDEs Keywords:Boussinesq equation; projective Riccati equations approach; nonlinear evolution equation; explicit and exact solutions Software:Maple PDFBibTeX XMLCite \textit{B.-D. Tian} et al., Appl. Math. Sci., Ruse 3, No. 5--8, 257--265 (2009; Zbl 1177.35183) Full Text: Link