Traveling wave solutions for some density dependent diffusion equations

DOI10.1007/BF03167096zbMath0612.35069MaRDI QIDQ3752800

Yuzo Hosono

Publication date: 1986

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityinitial value problemasymptotic behaviourpopulation dynamicsExistencetraveling wave

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Population dynamics (general) (92D25)

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Traveling wave solutions for some discrete quasilinear parabolic equations ⋮ Existence and asymptotic behavior of traveling wave fronts for a time-delayed degenerate diffusion equation ⋮ Sharp profiles in models of collective movements ⋮ Stationary patterns and their selection mechanism of urban crime models with heterogeneous near-repeat victimization effect ⋮ Convergence to sharp traveling waves of solutions for Burgers-Fisher-KPP equations with degenerate diffusion ⋮ Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function \(H(x, t)\) in the homotopy analysis method ⋮ On the fractional Nagumo equation with nonlinear diffusion and convection ⋮ Traveling waves for some biological systems with density dependent diffusion ⋮ Accurate computation of traveling wave solutions of some nonlinear diffusion equations ⋮ Finite time extinction in nonlinear diffusion equations. ⋮ Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations ⋮ Painlevé test, integrability, and exact solutions for density-dependent reaction-diffusion equations with polynomial reaction functions ⋮ Competition for space in a heterogeneous environment ⋮ Propagation of solutions of the porous medium equation with reaction and their travelling wave behaviour ⋮ Spectral stability of traveling fronts for reaction diffusion-degenerate Fisher-KPP equations ⋮ Front propagation for degenerate parabolic equations ⋮ Spectral stability of monotone traveling fronts for reaction diffusion-degenerate Nagumo equations ⋮ Travelling wave solutions for some degenerate parabolic equations. II

Cites Work

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• Traveling Wave and Multiple Traveling Wave Solutions of Parabolic Equations

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