Traveling waves for a nonlinear Schrödinger system with quadratic interaction in R4

Abstract

In this paper, we consider a nonlinear Schrödinger system with quadratic interaction. We extend the recent results of Fukaya et al. (Math. Ann. 2024) and show that the system has a ground state in R4 when the mass parameter 𝜅 is larger than 1/2

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Esfahani, A. (2024). Traveling waves for a nonlinear Schrödinger system with quadratic interaction in R4. Mathematical Methods in the Applied Sciences, 47(15), 12121–12131. https://doi.org/10.1002/mma.10158

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