@article{MTMT:1756234, title = {A fisher/KPP-type equation with density-dependent diffusion and convection: Travelling-wave solutions}, url = {https://m2.mtmt.hu/api/publication/1756234}, author = {Gilding, B H and Kersner, Róbert}, doi = {10.1088/0305-4470/38/15/009}, journal-iso = {J PHYS A-MATH GEN}, journal = {JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL}, volume = {38}, unique-id = {1756234}, issn = {0305-4470}, abstract = {This paper concerns processes described by a nonlinear partial differential equation that is an extension of the Fisher and KPP equations including density-dependent diffusion and nonlinear convection. The set of wave speeds forwhich the equation admits a wavefront connecting its stable and unstable equilibrium states is characterized. There is a minimal wave speed. For this wave speed there is a unique wavefront which can be found explicitly. It displays a sharp propagation front. For all greater wave speeds there is a unique wavefront which does not possess this property. For such waves, the asymptotic behaviour as the equilibrium states are approached is determined. © 2005 IOP Publishing Ltd.}, year = {2005}, eissn = {1361-6447}, pages = {3367-3379} } @article{MTMT:163288, title = {Stability of travelling waves for degenerate reaction-diffusion equations of KPP-type}, url = {https://m2.mtmt.hu/api/publication/163288}, author = {Biró, Zsolt Péter}, journal-iso = {ADV NONLINEAR STUD}, journal = {ADVANCED NONLINEAR STUDIES}, volume = {2}, unique-id = {163288}, issn = {1536-1365}, year = {2002}, eissn = {2169-0375}, pages = {357-371} }