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Analytical traveling-wave solutions to a generalized Gross-Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields

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Publication:1756663
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DOI10.1016/j.physleta.2017.07.012zbMath1404.82082OpenAlexW2736426663MaRDI QIDQ1756663

Shi-Hai Dong, Guo-Hua Sun, R. Castro López, Cornelio Yáñez-Márquez, Oscar Camacho-Nieto

Publication date: 21 December 2018

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2017.07.012

zbMATH Keywords

solitonssimilarity transformationgeneralized Gross-Pitaevskii equationnonlinearity interactions


Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of superfluids (82D50) Soliton solutions (35C08)




Cites Work

  • Unnamed Item
  • Exact solutions for the quintic nonlinear Schrödinger equation with time and space modulated nonlinearities and potentials
  • Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment
  • The nonlinear Schrödinger equation. Self-focusing and wave collapse
  • Similarity transformations for nonlinear Schrödinger equations with time-dependent coefficients
  • Financial Rogue Waves
  • Wave Equations in Higher Dimensions
  • Soliton Management in Periodic Systems
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