Exact travelling wave solutions of non-linear reaction-convection-diffusion equations—An Abel equation based approach

DOI10.1063/1.4935299zbMath1328.35096arXiv1510.08163OpenAlexW2964075636MaRDI QIDQ3457139

Man Kwong Mak, Tiberiu Harko

Publication date: 10 December 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08163

zbMATH Keywords

travelling wave solutionsAbel equationreaction-convection-diffusion equationChiellini lemmaLemke transformation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Traveling wave solutions (35C07)

Related Items (12)

Invariant subspace method for \((m+1)\)-dimensional non-linear time-fractional partial differential equations ⋮ Analysis of a population model with advection and an autocatalytic-type growth ⋮ A family of analytical solutions of a nonlinear diffusion-convection equation ⋮ An attractive numerical algorithm for solving nonlinear Caputo-Fabrizio fractional Abel differential equation in a Hilbert space ⋮ The behavior of solutions to a special Abel equation of the second kind near a nodal singular point ⋮ On the analytical expression of the multicompacton and some exact compact solutions of a nonlinear diffusive Burgers' type equation ⋮ Exact solutions of nonlinear diffusion-convection-reaction equation: a Lie symmetry analysis approach ⋮ On the Jacobi last multipliers and Lagrangians for a family of Liénard-type equations ⋮ On the integrability conditions for a family of Liénard-type equations ⋮ FUNCTIONAL EXPANSIONS FOR FINDING TRAVELING WAVE SOLUTIONS ⋮ On the integrability of the Abel and of the extended Liénard equations ⋮ Initial value problem for the \((2+1)\)-dimensional time-fractional generalized convection-reaction-diffusion wave equation: invariant subspaces and exact solutions

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