@Article{JNMA-1-307,
author = {Li , XiaofengMeng , Fanchao and Du , Zengji},
title = {Traveling Wave Solutions of a Fourth-Order Generalized Dispersive and Dissipative Equation},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2021},
volume = {1},
number = {3},
pages = {307--318},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2019.307},
url = {http://global-sci.org/intro/article_detail/jnma/18845.html}
}