Ou, Zhong-Hui; Dai, Shi-Qiang; Dong, Li-Yun Density waves in the full velocity difference model. (English) Zbl 1093.82012 J. Phys. A, Math. Gen. 39, No. 6, 1251-1263 (2006). The authors investigate density waves in the full velocity difference model (FVDM) analytically and numerically. By use of nonlinear analysis, they derive the Burgers, Korteweg-de Vries (KdV) and Modified KdV equations for the triangular shock wave, the soliton wave and the kink-antikink wave. They show numerically, that the triangular shock wave and the soliton wave are determined by the initial perturbation configuration and that different initial perturbations will produce different wave forms. Reviewer: Klaus Brod (Wiesbaden) Cited in 1 Document MSC: 82B99 Equilibrium statistical mechanics 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 86A05 Hydrology, hydrography, oceanography 35Q53 KdV equations (Korteweg-de Vries equations) Keywords:equilibrium statistical mechanics; density waves; KdV-like equations PDFBibTeX XMLCite \textit{Z.-H. Ou} et al., J. Phys. A, Math. Gen. 39, No. 6, 1251--1263 (2006; Zbl 1093.82012) Full Text: DOI