Multiple branches of travelling waves for the Gross–Pitaevskii equation

DOI10.1088/1361-6544/aab4cczbMath1393.35216OpenAlexW2614461384WikidataQ129857180 ScholiaQ129857180MaRDI QIDQ4569244

David Chiron, Claire Scheid

Publication date: 28 June 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/aab4cc

zbMATH Keywords

travelling wavesnonlinear Schrödinger equationvortexKadomtsev-Petviashvili equationmulti-lump solitary waves

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of solutions to systems of equations (65H10) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations (35J61) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (9)

A uniqueness result for travelling waves in the Gross-Pitaevskii equation ⋮ 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 ⋮ On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation ⋮ Multivortex Traveling Waves for the Gross--Pitaevskii Equation and the Adler--Moser Polynomials ⋮ Small-amplitude fully localised solitary waves for the full-dispersion Kadomtsev–Petviashvili equation ⋮ On the characterization of vortex configurations in the steady rotating Bose–Einstein condensates ⋮ Nondegeneracy, Morse index and orbital stability of the KP-I lump solution ⋮ Generalized Adler--Moser Polynomials and Multiple Vortex Rings for the Gross--Pitaevskii Equation

Uses Software

• Scilab
• Python

Cites Work

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