New type of travelling wave solutions
Copyright policy )New type of travelling wave solutions
AbstractWe study the existence of combustion waves for an autocatalytic reaction in the non‐adiabatic case. Based on the fact that the reaction system has canard solutions separating the slow combustion regime from the explosive one, we prove by applying the geometric theory of singularly perturbed differential equations the existence of a new type of travelling waves solutions, the so‐called canard travelling waves. Copyright © 2003 John Wiley & Sons, Ltd.
- Weierstrass Institute Germany
- Samara State University Russian Federation
- Samara State Aerospace University Russian Federation
- Leibniz Association Germany
- Weierstrass Institute for Applied Analysis and Stochastics Germany
ddc:510, autocatalytic reaction, slow and explosive combustion regime, article, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Combustion, canard travelling waves, 510, combustion waves, canard solutions, Nonlinear parabolic equations, travelling wave -- singular perturbations -- canards -- combustion, Asymptotic expansions of solutions to ordinary differential equations
ddc:510, autocatalytic reaction, slow and explosive combustion regime, article, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Combustion, canard travelling waves, 510, combustion waves, canard solutions, Nonlinear parabolic equations, travelling wave -- singular perturbations -- canards -- combustion, Asymptotic expansions of solutions to ordinary differential equations
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