An analysis of spatiotemporal localized solutions in the variable coefficients (3 + 1)-dimensional nonlinear Schrödinger equation with six different forms of dispersion parameters
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Publication:4596712
DOI10.1063/1.4959145zbMath1375.35502arXiv1607.04386OpenAlexW2495655500WikidataQ50601905 ScholiaQ50601905MaRDI QIDQ4596712
K. Manikandan, Murugaian Senthilvelan
Publication date: 4 December 2017
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.04386
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Cites Work
- Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrödinger equation with space-modulated potential and nonlinearities
- Superposed Akhmediev breather of the \({(3+1)}\)-dimensional generalized nonlinear Schrödinger equation with external potentials
- Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation
- Rogue waves in the ocean
- Nonautonomous ``rogons in the inhomogeneous nonlinear Schrödinger equation with variable coefficients
- Bright and dark solitons in a quasi-1D Bose-Einstein condensates modelled by 1D Gross-Pitaevskii equation with time-dependent parameters
- What makes the Peregrine soliton so special as a prototype of freak waves?
- The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
- Analytical spatiotemporal similaritons for the generalized \((3+1)\)-dimensional Gross-Pitaevskii equation with an external harmonic trap
- Nonautonomous spatiotemporal localized structures in the inhomogeneous optical fibers: interaction and control
- Generalized Darboux transformation and \(N\)th order rogue wave solution of a general coupled nonlinear Schrödinger equations
- Water waves, nonlinear Schrödinger equations and their solutions
- Spatiotemporal Similaritons in (3+1)-Dimensional Inhomogeneous Nonlinear Medium with Cubic-Quintic Nonlinearity
- The disintegration of wave trains on deep water Part 1. Theory
- Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates
