2023
DOI: 10.1063/5.0165615
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Stable standing waves for a Schrödinger system with nonlinearχ3 response

Mathieu Colin,
Tatsuya Watanabe

Abstract: In this paper, we consider standing waves for a nonlinear Schrödinger system which appears in nonlinear optics. This two-component system contains a cubic nonlinear term which is called χ3-interaction, and has a strong coupling on one side only. Oliveira and Pastor [Anal. Math. Phys. 11, 123 (2021)] showed the existence of ground states solutions for the corresponding stationary problems and investigated their stability. In our study, by considering the solvability of a constraint minimization problem, we show… Show more

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