Cauchy matrix structure and solutions of the spin-1 Gross–Pitaevskii equations

Li, Shangshuai; Zhang, Da-jun

doi:10.1016/j.cnsns.2023.107705

Communications in Nonlinear Science and Numerical Simulation

2024

DOI: 10.1016/j.cnsns.2023.107705

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Cauchy matrix structure and solutions of the spin-1 Gross–Pitaevskii equations

Shangshuai Li,

Da-jun Zhang

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2024

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Cited by 2 publications

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Nonisospectral equations from the Cauchy matrix approach

Tefera,

Li,

Zhang

2024

Reports on Mathematical Physics

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Nonisospectral equations from the Cauchy matrix approach

Tefera,

Li,

Zhang

2024

Reports on Mathematical Physics

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Rogue waves and nonzero background solutions for the Gross–Pitaevskii equation with a parabolic potential

Xie,

Zhang,

Zhao

2024

Phys. Scr.

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In this paper an integrable Gross-Pitaevskii equation with a parabolic potential and a gain term is investigated. Its solutions with a nonzero background are derived. These solutions are constructed by using biliearization reduction approach and connections between the nonlinear Schr"odinger equation and the Gross-Pitaevskii equation. The solutions are presented in double-Wronskian form and are classified in terms of canonical forms of a certain matrix. Various breathers and rogue waves are analyzed and illustrated.

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Cauchy matrix structure and solutions of the spin-1 Gross–Pitaevskii equations

Cited by 2 publications

References 36 publications

Nonisospectral equations from the Cauchy matrix approach

Nonisospectral equations from the Cauchy matrix approach

Rogue waves and nonzero background solutions for the Gross–Pitaevskii equation with a parabolic potential

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