Guo, Bang-Xing; Gao, Zhan-Jie; Lin, Ji Various kinds waves and solitons interaction solutions of Boussinesq equation describing ultrashort pulse in quadratic nonlinear medium. (English) Zbl 1365.35152 Commun. Theor. Phys. 66, No. 6, 589-594 (2016). Summary: The consistent tanh expansion (CTE) method is applied to the \((2+1)\)-dimensional Boussinesq equation which describes the propagation of ultrashort pulse in quadratic nonlinear medium. The interaction solutions are explicitly given, such as the bright soliton-periodic wave interaction solution, variational amplitude periodic wave solution, and kink-periodic wave interaction solution. We also obtain the bright soliton solution, kind bright soliton solution, double well dark soliton solution and kink-bright soliton interaction solution by using Painlevé truncated expansion method. And we investigate interactive properties of solitons and periodic waves. Cited in 4 Documents MSC: 35Q55 NLS equations (nonlinear Schrödinger equations) 35C08 Soliton solutions 35C10 Series solutions to PDEs Keywords:soliton interaction; Boussinesq equation; consistent tanh expansion method; Painlevé truncated expansion method PDFBibTeX XMLCite \textit{B.-X. Guo} et al., Commun. Theor. Phys. 66, No. 6, 589--594 (2016; Zbl 1365.35152) Full Text: DOI