Travelling kinks in Schlogl's second model for non-equilibrium phase transitions
- 1 March 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (3) , L139-L142
- https://doi.org/10.1088/0305-4470/15/3/011
Abstract
Using the separation technique developed by Osborne and Stuart (1980), travelling wave solutions are written down for the nonlinear reaction-diffusion equation of Schlogl's second model, assuming that the necessary conditions for the static phase-coexistence are satisfied.Keywords
This publication has 10 references indexed in Scilit:
- Monte Carlo simulations for Schlögl's second modelPhysics Letters A, 1981
- Pattern formation in the Schlögl model of nonlinear kineticsPhysica A: Statistical Mechanics and its Applications, 1981
- Separable solutions of nonlinear wave equationsPhysics Letters A, 1981
- Positional differentiation as pattern formation in reaction-diffusion systems with permeable boundaries. Bifurcation analysisJournal of Mathematical Biology, 1981
- On the critical behaviour of the Schlögl modelPhysics Letters A, 1981
- Nonequilibrium phase transitions and chemical instabilitiesJournal of Statistical Physics, 1981
- On the separability of the sine-Gordon equation and similar quasilinear partial differential equations. II. Dependent- and independent-variable transformationsJournal of Mathematical Physics, 1980
- Separable solutions of the sine-Gordon equation in terms of a Painlevé transcendentPhysics Letters A, 1980
- On the separability of the sine-Gordon equation and similar quasilinear partial differential equationsJournal of Mathematical Physics, 1978
- Chemical reaction models for non-equilibrium phase transitionsThe European Physical Journal A, 1972