Based on the extended simplest equation method, we construct solitons and other solutions for the nonlinear convection-diffusion-reaction equation with power-law nonlinearity. This equation is the generalization of some nonlinear partial differential equations (NLPDEs), e.g., the Fisher equation or the logistic equation, the Zeldovich equation, the Newell–Whitehead or amplitude equation and the Nagumo or bistable equation. Dark solitons, singular solitons, combo bright-singular solitons, combo singular solitons, the combination of combo singular solitons and bright solitons and the combination of combo dark-bright solitons and singular solitons have been found. The new solutions in this article confirm that the used method is an efficient technique for analytic treatments of a wide variety of other NLPDEs in mathematical physics.
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Zayed, E.M.E., Shohib, R.M.A., Alngar, M.E.M. et al. Solitons and Other Solutions for the Nonlinear Convection–Diffusion–Reaction Equation with Power-Law Nonlinearity by the Extended Simplest Equation Method. Comput Math Model 32, 235–252 (2021). https://doi.org/10.1007/s10598-021-09528-9
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DOI: https://doi.org/10.1007/s10598-021-09528-9