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- W2918950776 abstract "The paper presents a number of new functional separable solutions to nonlinear convection–diffusion equations of the formc(x)ut=[a(x)ux]x+[b(x)+p(x)f(u)]ux,where f(u) is an arbitrary function. It shows that any three of the four variable coefficients a(x), b(x), c(x), p(x) of such equations can be chosen arbitrarily, and the remaining coefficient can be expressed through the others. Examples of specific equations and their exact solutions are given. The results obtained are generalized to more-complex nonlinear PDEs with variable coefficients. Also some functional separable solutions to nonlinear convection–diffusion equations with delayut=uxx+a(x)f(u,w)ux,w=u(x,t−τ),where τ > 0 is the delay time and f(u, w) is an arbitrary function of two arguments, are obtained." @default.
- W2918950776 created "2019-03-11" @default.
- W2918950776 creator A5077379445 @default.
- W2918950776 date "2019-07-01" @default.
- W2918950776 modified "2023-10-03" @default.
- W2918950776 title "Functional separable solutions of nonlinear convection–diffusion equations with variable coefficients" @default.
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- W2918950776 doi "https://doi.org/10.1016/j.cnsns.2019.02.022" @default.
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