Traveling-waves and solitons in a generalized time-variable coefficients nonlinear Schrödinger equation with higher-order terms
From MaRDI portal
Publication:469737
DOI10.1016/J.PHYSLETA.2012.11.049zbMath1298.35209OpenAlexW2033635911MaRDI QIDQ469737
Publication date: 11 November 2014
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2012.11.049
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07)
Related Items (4)
Solitons in a generalized space- and time-variable coefficients nonlinear Schrödinger equation with higher-order terms ⋮ Localized nonlinear waves in combined time-dependent magnetic-optical potentials with spatiotemporally modulated nonlinearities ⋮ Exact solutions of a generalized autonomous Duffing-type equation ⋮ Solitons in multi-body interactions for a fully modulated cubic-quintic Gross-Pitaevskii equation
Uses Software
Cites Work
- Unnamed Item
- Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
- Exact solutions for the quintic nonlinear Schrödinger equation with time and space modulated nonlinearities and potentials
- Analytical study of the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose-Einstein condensates
- Phase fluctuations and coherence of an almost ideal condensate
- Nonautonomous spatiotemporal localized structures in the inhomogeneous optical fibers: interaction and control
- Ultrashort self-similar solutions of the cubic-quintic nonlinear Schrödinger equation with distributed coefficients in the inhomogeneous fiber
- Self-similar optical pulses tunneling in cubic-quintic nonlinear media with distributed coefficients
- Exact travelling wave solutions of the discrete nonlinear Schrödinger equation and the hybrid lattice equation obtained via the exp-function method
- On the modulation of water waves in the neighbourhood of kh ≈ 1.363
- Spatiotemporal Self-Similar Solutions of the Generalized (3+1)-dimensional Nonlinear Schrödinger Equation with Polynomial Nonlinearity of Arbitrary Order
- Existence of dark solitons in a class of stationary nonlinear Schrödinger equations with periodically modulated nonlinearity and periodic asymptotics
- AKNS hierarchy, Darboux transformation and conservation laws of the 1D nonautonomous nonlinear Schrödinger equations
- Lax pairs of time-dependent Gross–Pitaevskii equation
This page was built for publication: Traveling-waves and solitons in a generalized time-variable coefficients nonlinear Schrödinger equation with higher-order terms
