Garcia, Martin G.; Omel’yanov, Georgii A. Kink-antikink interaction for semilinear wave equations with a small parameter. (English) Zbl 1173.35597 Electron. J. Differ. Equ. 2009, Paper No. 45, 26 p. (2009). Summary: We consider a class of semilinear wave equations with a small parameter and nonlinearities which provide the equations having exact kink-type solutions. As a main result we to obtain sufficient conditions for the nonlinearities under which the kink-antikink collision occurs without changing the waves shape and with only some shifts of the solitary wave trajectories. Cited in 9 Documents MSC: 35L70 Second-order nonlinear hyperbolic equations 35B25 Singular perturbations in context of PDEs Keywords:semilinear wave equation; kink; antikink; interaction; distribution; asymptotic; weak asymptotic method PDFBibTeX XMLCite \textit{M. G. Garcia} and \textit{G. A. Omel'yanov}, Electron. J. Differ. Equ. 2009, Paper No. 45, 26 p. (2009; Zbl 1173.35597) Full Text: EuDML EMIS