A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation | Zendy

L. A. Peletier | Zendy; William C. Troy | Zendy

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A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation

Author(s) -

L. A. Peletier,

William C. Troy

Publication year - 1995

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.1995.049

Subject(s) - mathematics , fisher's equation , fisher equation , diffusion equation , term (time) , order (exchange) , mathematical analysis , riccati equation , partial differential equation , integro differential equation , physics , economy , finance , real interest rate , quantum mechanics , monetary economics , economics , interest rate , service (business)

For γ = 0 this equation reduces to the famous Fisher–Kolmogorov equation. For γ > 0 this fourth order diffusion equation has often been referred to as the Extended Fisher–Kolmogorov equation [DS] and has served as a model equation for the study of bi-stable systems arising in a variety of situations in physics [CER, CH, DS, HLS], such as second order phase transitions (Lifschitz points [Z]). The term “bi-stable” refers here to the fact that the uniform states u = ±1 are stable as solutions of the related equation

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