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5. Existence of a traveling wave for Gross-Pitaevskii equation in \(\mathbb{R}^2\)


    1. Add remark

      Problem 5.1.

      [Javier Gómes-Serrano] Prove existence of a traveling wave for Gross-Pitaevskii equation in \(\mathbb{R}^2\) for all wave speeds \(c \in [0, \sqrt{2}]\).

          Cite this as: AimPL: Computer assisted proofs for stability analysis of nonlinear waves, available at http://aimpl.org/compproofstability.