@Article{JNMA-1-3,
author = {Xiaofeng, Li and Meng, Fanchao and Zengji, Du},
title = {Traveling Wave Solutions of a Fourth-Order Generalized Dispersive and Dissipative Equation},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2019},
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 = {https://global-sci.com/article/88047/traveling-wave-solutions-of-a-fourth-order-generalized-dispersive-and-dissipative-equation}
}