Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: Application to Bose-Einstein condensates with multi-body interatomic interactions

DOI10.1063/1.4768460zbMath1278.35235OpenAlexW1992130840MaRDI QIDQ2872406

Wu-Ming Liu, Ahmed Lakhssassi, Emmanuel Kengne, Rémi Vaillancourt

Publication date: 14 January 2014

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

Full work available at URL: https://doi.org/10.1063/1.4768460

zbMATH Keywords

Gross-Pitaevskii equationdouble-mapping methodGross-Pitaevskii-Ginzburg equation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Self-similar solutions to PDEs (35C06) Ginzburg-Landau equations (35Q56)

Related Items (6)

Asymptotic behavior and blowup for two generalized Ginzburg–Landau type equations with several nonlinear source terms ⋮ Vector solitons in an extended coupled Schrödinger equations with modulated nonlinearities ⋮ Chirped Lambert W-kink solitons of the complex cubic-quintic Ginzburg-Landau equation with intrapulse Raman scattering ⋮ Analytic soliton solutions of cubic‐quintic Ginzburg‐Landau equation with variable nonlinearity and spectral filtering in fiber lasers ⋮ Adaptive sampling and modal expansions in pattern-forming systems ⋮ Weierstrass elliptic solutions to a Zakharov equation in plasmas with power law nonlinearity

Cites Work

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• Dynamics and manipulation of matter-wave solitons in optical superlattices
• Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems
• Time dependent Ginzburg-Landau equations of superconductivity
• The world of the complex Ginzburg-Landau equation
• Ginzburg–Landau system of complex modulation equations for a distributed nonlinear-dispersive transmission line
• Modulation of waves near the marginal state of instability in fluid-filled distensible tubes
• Pattern formation outside of equilibrium

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