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On the even solutions of the Toda system: a degree argument approach
Department of Mathematics, University of Science and Technology of China, Hefei 230027, China
Department of Mathematics, Towson University, Towson, MD 21252, USA
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.
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