Year: 2019
Author: Xiaofeng Li, Fanchao Meng, Zengji Du
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 307–318
Abstract
In this paper, we consider a generalized nonlinear forth-order dispersive-dissipative equation with a nonlocal strong generic delay kernel, which describes wave propagation in generalized nonlinear dispersive, dissipation and quadratic diffusion media. By using geometric singular perturbation theory and Fredholm alternative theory, we get a locally invariant manifold and use fast-slow system to construct the desire heteroclinic orbit. Furthermore, we construct a traveling wave solution for the nonlinear equation. Some known results in the literature are generalized.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.307
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 307–318
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Dispersive-dissipative equation geometric singular perturbation traveling waves heteroclinic orbit.