Existence and Stability of Traveling Fronts in the Extended Fisher–Kolmogorov Equation

Vivi Rottschäfer, C. Eugene Wayne

Type: Article

Publication Date: 2001-11-01

Citations: 22

DOI: https://doi.org/10.1006/jdeq.2000.3984

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Locations

Journal of Differential Equations - View

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+	Chapter 2 Heteroclinic Orbits for Some Classes of Second and Fourth Order Differential Equations	2006	Denis Bonheure Luís Sanchez
+	Series solutions and bifurcation of traveling waves in the Benney–Kawahara–Lin equation	2019	Yuqian Zhou Qian Liu
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Works Cited by This (24)

Action	Title	Year	Authors
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy
+	Multitransition Homoclinic and Heteroclinic Solutions of the Extended Fisher–Kolmogorov Equation	1996	William D. Kalies Robert Vandervorst
+ PDF Chat	Travelling Waves for Fourth Order Parabolic Equations	2001	Jan Bouwe van den Berg Josephus Hulshof Robertus C.A.M. Vandervorst
+	Geometric singular perturbation theory for ordinary differential equations	1979	Neil Fenichel
+ PDF Chat	Stability of travelling waves for a damped hyperbolic equation	1997	Th. Gallay Geneviève Raugel
+	Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system	1996	B. Buffoni Alan R. Champneys John Toland
+	On the stability of waves of nonlinear parabolic systems	1976	D. H. Sattinger
+	Spatial Patterns Described by the Extended Fisher--Kolmogorov Equation: Periodic Solutions	1997	L. A. Peletier William C. Troy
+	Scaling Variables and Asymptotic Expansions in Damped Wave Equations	1998	Th. Gallay G. Raugel
+	Multi-bump patterns by a normal form approach	2001	Vivi Rottschäfer