Multivortex Traveling Waves for the Gross--Pitaevskii Equation and the Adler--Moser Polynomials
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Publication:5116573
DOI10.1137/18M119940XzbMath1445.35106arXiv1804.09875OpenAlexW3046153275MaRDI QIDQ5116573
Publication date: 18 August 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.09875
PDEs in connection with quantum mechanics (35Q40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Traveling wave solutions (35C07) Entire solutions to PDEs (35B08) Ginzburg-Landau equations (35Q56)
Related Items (9)
Smooth branch of travelling waves for the Gross-Pitaevskii equation in R2 for small speed ⋮ Smooth branch of rarefaction pulses for the nonlinear Schrödinger equation and the Euler-Korteweg system in 2d ⋮ A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation ⋮ Existence and nonexistence of traveling waves for the Gross-Pitaevskii equation in tori ⋮ Interacting helical traveling waves for the Gross-Pitaevskii equation ⋮ The correlation coefficient for vortices in the plane ⋮ Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation ⋮ Generalized Adler--Moser Polynomials and Multiple Vortex Rings for the Gross--Pitaevskii Equation ⋮ Finite energy traveling waves for the Gross-Pitaevskii equation in the subsonic regime
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