Alaloush, MohanadTaskesen, Hatice2025-05-102025-05-1020192645-884510.33401/fujma.587740https://doi.org/10.33401/fujma.587740https://search.trdizin.gov.tr/en/yayin/detay/355598/conservation-laws-for-a-model-with-both-cubic-and-quadratic-nonlinearityhttps://hdl.handle.net/20.500.14720/3804In this paper, the conservation laws for a model with both quadratic and cubic nonlinearity$m_t\\;=\\;bu_x\\;+\\;\\frac12a\\;{\\left[(u^2-u_x^2\\;m)\\right]}_x+\\frac12c\\;(2m.\\;u_x+m_x.u);\\;m=u-u_{xx}$are considered for the six cases of coefficients. By using a variational derivative approach,conservation laws were constructed. The computations to derive multipliers and conservation law fluxes are conducted by using a Maple-based package which is called GeM.eninfo:eu-repo/semantics/openAccessFizikUygulamalıMatematikArticle22N/AN/A180185355598