Exact Solutions of the Modified Gross–Pitaevskii Equation in “Smart“ Periodic Potentials in the Presence of External Source

DOI10.1142/S1402925111001659zbMath1228.35231arXiv0912.0780OpenAlexW2081025142MaRDI QIDQ3095755

Thokala Soloman Raju, Prasanta K. Panigrahi

Publication date: 3 November 2011

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

Full work available at URL: https://arxiv.org/abs/0912.0780

zbMATH Keywords

soliton-like solutionsmodified Gross-Pitaevskii equationfractional transformexternal sourceJacobian elliptic potentials

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Quantum equilibrium statistical mechanics (general) (82B10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

Matter wave soliton solutions for driven Gross-Pitaevskii equation with distributed coefficients

Cites Work

• Unnamed Item
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Exact solutions of the Gross-Pitaevskii equation in periodic potential in the presence of external source
• On exact solitary wave solutions of the nonlinear Schrödinger equation with a source

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