Figure 1.
A simple case of the two particles interactions
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doi: 10.3934/cpaa.2021075
On the even solutions of the Toda system: a degree argument approach
| 1. | Department of Mathematics, University of Science and Technology of China, Hefei 230027, China |
| 2. | Department of Mathematics, Towson University, Towson, MD 21252, USA |
| 3. | School of Mathematical Sciences and Physics, North China Electric Power University, Beijing 102206, China |
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.
Keywords:
Even solutions,
Toda system,
degree argument approach,
perturbation theory,
non-integrable system.
Mathematics Subject Classification:
Primary: 34B30, 34D10, 34E99.
Citation:
Yong Liu, Jing Tian, Xuelin Yong.
On the even solutions of the Toda system: a degree argument approach. Communications on Pure & Applied Analysis, doi: 10.3934/cpaa.2021075
![]()
Figure 2.
A simple case of the three particles interactions
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