NONLINEAR PULSE PAIRS WITH OSCILLATORY TAILS IN A QUINTIC REACTION-DIFFUSION MODEL WITH CROSS DIFFUSION AND CROSS ADVECTION

17th International Conference on Fundamental and Applied Aspects of Physical Chemistry (Proceedings, Volume I) (2024) [D-09-P, pp. 159-162]

AUTHOR(S) / AUTOR(I): Evgeny P. Zemskov

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DOI: 10.46793/Phys.Chem24I.159Z

ABSTRACT / SAŽETAK:

We describe analytically nonlinear traveling waves with oscillatory tails in a tristable piecewise- linear reaction-diffusion system, which approximates a quintic FitzHugh-Nagumo model, with linear cross-diffusion and cross-advection terms of opposite signs. Bound states of the waves, namely pairs of coupled traveling pulses, are studied. The wave profiles are found and the speed of propagation is calculated. The pattern of the pulse pairs is similar to the bright-dark-bright soliton complexes.

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