MODULATIONAL INSTABILITY AND EXACT SOLITON AND PERIODIC SOLUTIONS FOR TWO WEAKLY COUPLED EFFECTIVELY 1D CONDENSATES TRAPPED IN A DOUBLE-WELL POTENTIAL

DOI10.1142/S021797921005541XzbMath1195.82007OpenAlexW2009637406MaRDI QIDQ4929709

Rémi Vaillancourt, Emmanuel Kengne, Boris A. Malomed

Publication date: 23 September 2010

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021797921005541x

zbMATH Keywords

Bose-Einstein condensatemodulational instabilitycoupled Gross-Pitaevskii equationelliptic ordinary differential equations

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) 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 (4)

Modulational instability of Bose-Einstein condensate in a complex polynomial in elliptic Jacobian functions potential ⋮ Solitary wave solutions and modulational instability in a system of coupled complex Newell-Segel-Whitehead equations ⋮ Exact wave solutions for Bose–Einstein condensates with time-dependent scattering length and spatiotemporal complicated potential ⋮ Matter-wave solitons of Bose–Einstein condensates with time-dependent complex potentials

Cites Work

• Solitons in Bose-Einstein condensates trapped in a double-well potential
• Stable solitons in coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities
• Structure of a quantized vortex in boson systems
• Exact solutions of the Gross-Pitaevskii equation in periodic potential in the presence of external source
• Explicit solutions to an effective Gross–Pitaevskii equation: One-dimensional Bose–Einstein condensate in specific traps
• Painleve analysis and Backlund transformation in the Kuramoto-Sivashinsky equation
• Non-linear dispersive waves
• The disintegration of wave trains on deep water Part 1. Theory

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