Osman, E.; Khalfallah, M.; Sapoor, H. Conservation laws for a Degasperis Procesi equation and a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model via the multiplier approach. (English) Zbl 1314.35150 Int. J. Partial Differ. Equ. 2014, Article ID 904252, 5 p. (2014). Summary: We employ the multiplier approach (variational derivative method) to derive the conservation laws for the Degasperis Procesi equation and a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Firstly, the multipliers are computed and then conserved vectors are obtained for each multiplier. MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction Keywords:conservation laws; Degasperis Procesi equation; Korteweg-de Vries system Software:GeM PDFBibTeX XMLCite \textit{E. Osman} et al., Int. J. Partial Differ. Equ. 2014, Article ID 904252, 5 p. 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