On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves
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🧮 math.AP
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equationgross-pitaevskiilimittransonictravellingtwo-dimensionalwavesconvergence
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We provide a rigorous mathematical derivation of the convergence in the long-wave transonic limit of the minimizing travelling waves for the two-dimensional Gross-Pitaevskii equation towards ground states for the Kadomtsev-Petviashvili equation (KP I).
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