Open AccessOn the even solutions of the Toda system: A degree argument approach
Author(s) -
Yong Liu,
Jing Tian,
Xuelin Yong
Publication year - 2022
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021075
Subject(s) - degree (music) , integrable system , infinity , argument (complex analysis) , mathematics , perturbation (astronomy) , exponential function , pure mathematics , toda lattice , mathematical analysis , physics , biochemistry , chemistry , quantum mechanics , acoustics
In this paper, we show the existence of even solutions with prescribed asymptotic behavior at infinity. Instead of using the integrability of the Toda system, the novel idea here is a degree argument approach. Perturbation theory has also been used in our study. Our method can be generalized to explore non-integrable systems with exponential type nonlinearities.