English

High energy solutions of quadratic coupling Schrodinger equation with nonconstant potential

Analysis of PDEs 2022-11-21 v1

Abstract

In this paper, we use the variational method, especially the perturbation method, to find the perturbed high energy solutions of the quadratic coupled Schrodinger system with asymmetric asymptotic potential and their asymptotic behavior as the coupling coefficient converges to 0.

Keywords

Cite

@article{arxiv.2211.10115,
  title  = {High energy solutions of quadratic coupling Schrodinger equation with nonconstant potential},
  author = {Mingyang Han and Kai Zhang},
  journal= {arXiv preprint arXiv:2211.10115},
  year   = {2022}
}