Nonlinear delay reaction-diffusion equations: traveling-wave solutions in elementary functions
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Publication:494237
DOI10.1016/j.aml.2015.01.023zbMathNoneOpenAlexW2052545704MaRDI QIDQ494237
Andrei D. Polyanin, Vsevolod G. Sorokin
Publication date: 31 August 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2015.01.023
exact solutionstraveling-wave solutionsdelay reaction-diffusion equationsnonlinear delay differential equationssolutions in elementary functions
Stability theory of functional-differential equations (34K20) General theory of functional-differential equations (34K05)
Related Items (8)
Lie group classification of first-order delay ordinary differential equations ⋮ Splitting in systems of PDEs for two-phase multicomponent flow in porous media ⋮ Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients ⋮ Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay ⋮ Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients ⋮ A method for constructing exact solutions of nonlinear delay PDEs ⋮ Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients ⋮ Second-order delay ordinary differential equations, their symmetries and application to a traffic problem
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