2Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 81, pp. 1-16.

Title: Variety of solutions and dynamical behavior for YTSF equations
       
Author: Wei Chen (Univ. of Science and Technology, Hefei, Anhui, China)

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.