Traveling waves for a nonlinear Schrödinger system with quadratic interaction in R4
Esfahani A.
October 2024John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2024#47Issue 1512121 - 12131 pp.
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 (Formula presented.) when the mass parameter (Formula presented.) is larger than (Formula presented.).
ground state , NLS system , variational method
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Department of Mathematics, Nazarbayev University, Astana, Kazakhstan
Department of Mathematics
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