On the even solutions of the Toda system: a degree argument approach
On the even solutions of the Toda system: a degree argument approach
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DOI：
10.3934/cpaa.2021075
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发表时间：
2021
影响因子：
1
通讯作者：
Yong Liu;Jing Tian;X. Yong
中科院分区：
文献类型：
--
作者：
Yong Liu;Jing Tian;X. Yong
在本文中，我们证明了偶数解的存在性与规定的渐近行为在无穷远。这里的新颖思想是一种度论证方法，而不是使用户田系统的可积性。微扰理论也被用于我们的研究中。我们的方法可以推广到探索指数型非线性不可积系统。
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.