Danilov, V. G.; Shelkovich, V. M. Propagation and interaction of shock waves of quasilinear equation. (English) Zbl 1008.35041 Nonlinear Stud. 8, No. 1, 135-169 (2001). This paper deals with the weak asymptotic method to study the dynamics of propagation and interaction of shock waves for quasilinear equations in the one-dimensional case. Asymptotic solutions are given and the dynamics of the shock wave merging process is described. It is remarked that the method is also applicable for solving a similar problem in the case of systems of first-order quasilinear equations in one dimension. The paper may be of interest to someone interested in the problem of nonlinear wave interactions for quasilinear equations and systems. Reviewer: V.D.Sharma (Mumbai) Cited in 15 Documents MSC: 35L67 Shocks and singularities for hyperbolic equations Keywords:weak asymptotic method; one-dimensional case PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{V. M. Shelkovich}, Nonlinear Stud. 8, No. 1, 135--169 (2001; Zbl 1008.35041) Full Text: arXiv