论文信息 - Travelling kinks in Schlogl's second model for non-equilibrium phase transitions

Travelling kinks in Schlogl's second model for non-equilibrium phase transitions

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.

E. Magyari

[1] P. Grassberger. Monte Carlo simulations for Schlgl's second model , 1981 .

[2] J. J. Kozak,et al. Pattern formation in the Schlögl model of nonlinear kinetics , 1981 .

[3] A. D. Osborne. Separable solutions of nonlinear wave equations , 1981 .

[4] M. Volkenstein,et al. Positional differentiation as pattern formation in reaction-diffusion systems with permeable boundaries. Bifurcation analysis , 1981 .

[5] E. Tirapegui,et al. On the critical behaviour of the Schlögl model , 1981 .

[6] A. D. Osborne,et al. On the separability of the sine‐Gordon equation and similar quasilinear partial differential equations. II. Dependent‐ and independent‐variable transformations , 1980 .

[7] A. D. Osborne,et al. Separable solutions of the sine-Gordon equation in terms of a Painlevé transcendent , 1980 .

[8] A. D. Osborne,et al. On the separability of the sine‐Gordon equation and similar quasilinear partial differential equations , 1978 .

[9] F. Schlögl. Chemical reaction models for non-equilibrium phase transitions , 1972 .

[10] G. Dewel,et al. Nonequilibrium phase transitions and chemical instabilities , 1981 .