BOUNDED TRAVELING WAVES OF THE GENERALIZED BURGERS–FISHER EQUATION

DOI10.1142/S0218127413500545zbMath1270.34090OpenAlexW2019125803MaRDI QIDQ2845178

Qian Liu, Yu-Qian Zhou, Wei Nian Zhang

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127413500545

zbMATH Keywords

solitary wavesbifurcationperiodic traveling wavesgeneralized Burgers-Fisher equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Related Items (2)

Periodic traveling waves in a generalized BBM equation with weak backward diffusion and dissipation terms ⋮ Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws

Cites Work

• Bounded traveling waves of the Burgers-Huxley equation
• Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
• Bifurcation of travelling wave solutions for the modified dispersive water wave equation
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• Traveling waves in a convolution model for phase transitions
• New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation
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• A restrictive Padé approximation for the solution of the generalized Fisher and Burger-Fisher equations
• Exact periodic traveling water waves with vorticity
• Existence of traveling wave solutions in a diffusive predator-prey model
• A criterion for determining the monotonicity of the ratio of two Abelian integrals
• Variational iteration method for solving generalized Burger-Fisher and Burger equations
• Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations
• Spectral collocation method for the solution of the generalized Burgers-Fisher equation
• The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equations
• EXPLICIT PERIODIC WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR GENERALIZED CAMASSA–HOLM EQUATION

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