AUTOWAVES AND SOLITONS IN A THREE-COMPONENT REACTION–DIFFUSION SYSTEM
2002 ◽
Vol 12
(11)
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pp. 2421-2434
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Keyword(s):
We study the propagation of nonlinear waves in a three-component reaction–diffusion system. The problem of the existence of the stationary pulse-like solutions is reduced to the analysis of homoclinic trajectories of a fourth-order system of nonlinear ODEs. We have obtained the parameter set corresponding to the homoclinic bifurcations that defines the velocity spectra of the traveling pulses. We have shown that the pulses behave like autowaves annihilating in head-on collision and like dissipative solitons crossing each other, reflecting at boundaries. We have provided a qualitative explanation for such a behavior.
2002 ◽
Vol 161
(1-2)
◽
pp. 45-66
◽
2002 ◽
Vol 165
(1-2)
◽
pp. 126
◽
2011 ◽
Vol 379
(1)
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pp. 150-170
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2014 ◽
Vol 25
(1)
◽
pp. 87-129
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Keyword(s):
2000 ◽
pp. 354-364
◽
1998 ◽
Vol 247
(4-5)
◽
pp. 297-302
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