Wave solutions for a discrete reaction-diffusion equation

European Journal of Applied Mathematics

Volumn 11, Issue 4, 2000, Pages 399-412

  Carpio, A ^a   Chapman, S J ^b   Hastings, S ^c   McLeod, J B ^c  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b Applied Mathematics Mathematical Institute   (United Kingdom)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034375162     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0956792599004222     Document Type: Article

References (11)

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3. FRENKEL, J. & KONTOROVA, T. (1938) On the theory of plastic deformation and twinning. J. Phys. USSR, 13, 1-10.
4. HASTINGS, S. P. & MCLEOD, J. B. In preparation.
5. HANKERSON, D. & ZINNER, B. (1992) Wavefronts for a cooperative tridiagonal system of differential equations. J. Dynamics & Diff. Eq. 5, 359-373.
6. KEENER, J. P. (1987) Propagation and its failure in coupled systems of discrete excitable cells. SIAM J. Appl. Math. 47, 556-572.
7. KING, J. R. & CHAPMAN, S. J. Asymptotics beyond all orders and Stokes lines in nonlinear differential-difference equations. Preprint.
8. MALLET-PARET, J. (1997) The global structure of traveling waves in spatially discrete dynamical systems. Preprint, August.
9. WALTER, W. (1970) Differential and Integral Inequalities. Springer-Verlag.
10. ZINNER, B. (1992) Existence of traveling wavefront solutions for the discrete Nagumo equation. J. Diff. Eq. 96, 1-27.
11. ZINNER, B. (1991) Stability of traveling wavefronts for the discrete Nagumo equation. SIAM J. Math. Anal. 22, 1016-1020.