Standing waves for a generalized Davey-Stewartson system
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CitationEden, A. & Erbay, S. (2006). Standing waves for a generalized Davey–Stewartson system. Journal of Physics A: Mathematical and General, 39(43), 13435-13444. doi:10.1088/0305-4470/39/43/003
In this paper, we establish the existence of non-trivial solutions for a semi-linear elliptic partial differential equation with a non-local term. This result allows us to prove the existence of standing wave ( ground state) solutions for a generalized Davey-Stewartson system. A sharp upper bound is also obtained on the size of the initial values for which solutions exist globally.