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Delay Reaction-Diffusion Equations

Some articles:

• J. Wu, X. Zou. Traveling wave fronts of reaction-diffusion systems with delay. J. Dynamics and Differential Equations, Vol. 13, pp. 651-687, 2001. (File of the article is taken from the Internet, see http://www.apmaths.uwo.ca/~xzou/Repr/jdde01.pdf)
• J. Huang, X. Zou. Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays. J. Math. Anal. Appl., Vol. 271, pp. 455-466, 2002. (File of the article is taken from the Internet, see http://www.apmaths.uwo.ca/~xzou/Repr/jmaa02.pdf)
• S. V. Meleshko, S. Moyo. On the complete group classification of the reaction--diffusion equation with a delay. Journal of Mathematical Analysis and Applications, Vol. 338, pp. 448–466, 2008.
• A. D. Polyanin, A. I. Zhurov. Exact solutions of linear and non-linear differential-difference heat and diffusion equations with finite relaxation time. International Journal of Non-Linear Mechanics, Vol. 54, pp. 115–126, 2013.
• A. D. Polyanin, A. I. Zhurov. Exact separable solutions of delay reaction-diffusion equations and other nonlinear partial functional-differential equations. Communications in Nonlinear Science and Numerical Simulation, Vol. 19, No. 3, pp. 409–416, 2014.
• A. D. Polyanin, A. I. Zhurov. Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations. Communications in Nonlinear Science and Numerical Simulation, Vol. 19, No. 3, pp. 417–430, 2014.
• A. D. Polyanin, A. I. Zhurov. New generalized and functional separable solutions to non-linear delay reaction-diffusion equations. International Journal of Non-Linear Mechanics, Vol. 59, p. 16–22, 2014.
• A. D. Polyanin, A. I. Zhurov. Non-linear instability and exact solutions to some delay reaction-diffusion systems, International Journal of Non-Linear Mechanics, Vol. 62, pp. 33–40, 2014.
• A. D. Polyanin, A. I. Zhurov. Nonlinear delay reaction-diffusion equations with varying transfer coefficients: Exact methods and new solutions, Applied Mathematics Letters , Vol. 37, pp. 43–48, 2014.
• A. D. Polyanin, A. I. Zhurov. The functional constraints method: Application to non-linear delay reaction-diffusion equations with varying transfer coefficients, International Journal of Non-Linear Mechanics , Vol. 67, pp. 267–277, 2014.