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• W2052545704 abstract "The paper deals with nonlinear delay reaction–diffusion equations of the form ut=auxx+F(u,ū), where u=u(x,t) and ū=u(x,t−τ), with τ denoting the delay time. We present a number of traveling-wave solutions of the form u=w(z), z=kx+λt, that can be represented in terms of elementary functions. We consider equations with quadratic, power-law, exponential and logarithmic nonlinearities as well as more complex equations with the kinetic function dependent on one to four arbitrary functions of a single argument. All of the solutions obtained involve free parameters and so may be suitable for solving certain model problems as well as testing numerical and approximate analytical methods for delay reaction–diffusion equations and more complex nonlinear delay PDEs." @default.
• W2052545704 created "2016-06-24" @default.
• W2052545704 creator A5040356398 @default.
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• W2052545704 date "2015-08-01" @default.
• W2052545704 modified "2023-10-18" @default.
• W2052545704 title "Nonlinear delay reaction–diffusion equations: Traveling-wave solutions in elementary functions" @default.
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• W2052545704 doi "https://doi.org/10.1016/j.aml.2015.01.023" @default.
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