Year: 2021
Author: Shuxia Pan, Guo Lin
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 465–475
Abstract
This article studies the existence of traveling wave solutions in an integrodifference equation with weak compactness. Because of the special kernel function that may depend on the Dirac function, traveling wave maps have lower regularity such that it is difficult to directly look for a traveling wave solution in the uniformly continuous and bounded functional space. In this paper, by introducing a proper set of potential wave profiles, we can obtain the existence and precise asymptotic behavior of nontrivial traveling wave solutions, during which we do not require the monotonicity of this model.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.465
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 465–475
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Generalized upper and lower solutions Traveling wave map Minimal wave speed Decay behavior.