Painlevé singularity structure analysis of three component Gross–Pitaevskii type equations

DOI10.1063/1.3263936zbMath1304.35645arXiv0910.4841OpenAlexW3102131794MaRDI QIDQ3583718

T. Kanna, K. Sakkaravarthi, C. Senthil Kumar, Miki Wadati, Muthusamy Lakshmanan

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4841

zbMATH Keywords

nonlinear equationsBose-Einstein condensationradiation pressurevectorsatom-photon collisions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (9)

Solitons, breathers and rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates ⋮ Long-time asymptotics for the spin-1 Gross-Pitaevskii equation ⋮ The management of matter rogue waves in F = 1 spinor Bose–Einstein condensates ⋮ Solitons and their collisions in the spinor Bose-Einstein condensates ⋮ Bright matter-wave bound soliton molecules in spin-1 Bose-Einstein condensates with non-autonomous nonlinearities ⋮ Bright solitons in coherently coupled nonlinear Schrödinger equations with alternate signs of nonlinearities ⋮ An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line ⋮ Singularity analysis and explicit solutions of a new coupled nonlinear Schrödinger type equation ⋮ Prolongation structures and matter-wave solitons in \(F=1\) spinor Bose-Einstein condensate with time-dependent atomic scattering lengths in an expulsive harmonic potential

Cites Work

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