School of Mathematical Sciences
University of Science and Technology of China
Hefei, Anhui, 230026, China
email: chenwei7@mail.ustc.edu.cn
Wei Chen
Abstract:
We construct non-homogeneous polynomial lump wave solutions of the
Yu-Toda-Sasa-Fukuyama (YTSF) equation, based on a bilinear approach,
enriching the formal diversity of lump waves.
By studying the interaction between the lump solutions of
the YTSF equation and the solitary wave solutions, we find
a new aggregation effect and elastic collision effect.
We obtain exact solutions, such as the solution
of separated variables and periodic nonlinear wave solutions,
by applying the Lie symmetry group method and the bilinear method.
Submitted April 27, 2023. Published December 10, 2023.
Math Subject Classifications: 35B35, 35B40.
Key Words: YTSF equation; symmetry reduction; two-lump wave; aggregation; interaction wave.
DOI: 10.58997/ejde.2023.82
Show me the PDF file (599 KB), TEX file for this article.
|
Wei Chen School of Mathematical Sciences University of Science and Technology of China Hefei, Anhui, 230026, China email: chenwei7@mail.ustc.edu.cn |
|---|
Return to the EJDE web page