Integrable inhomogeneous NLS equations are equivalent to the standard NLS
arXiv:0809.1924 · doi:10.1103/PhysRevE.79.015601
Abstract
A class of inhomogeneous nonlinear Schrödinger equations (NLS), claiming to be novel integrable systems with rich properties continues appearing in PhysRev and PRL. All such equations are shown to be not new but equivalent to the standard NLS, which trivially explains their integrability features.
6 pages, latex
References in corpus (2)
Cited by in corpus (17)
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Scaling approach to quantum non-equilibrium dynamics of many-body systems
- Optical rogue waves in the generalized inhomogeneous higher-order nonlinear Schrodinger equation with modulating coefficients
- Interaction of dark-bright solitons in two-component Bose-Einstein condensates
- More common errors in finding exact solutions of nonlinear differential equations. I
- Bright and dark solitons in a quasi 1D Bose-Einstein condensates modelled by 1D Gross-Pitaevskii equation with time-dependent parameters
- Matter-wave solutions in the Bose-Einstein condensates with the harmonic and Gaussian potentials
- Two kinds of rogue waves of the general nonlinear Schrödinger equation with derivative
- Heteroclinic structure of parametric resonance in the nonlinear Schrödinger equation
- Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
- Matter wave switching in Bose-Einstein condensates via intensity redistribution soliton interactions
- Exact ground states of quantum many-body systems under confinement
- Equivalence groupoid of a class of variable coefficient Korteweg--de Vries equations
- Nonautonomous mixed mKdV-sinh-Gordon hierarchy
- Integrable Floquet Hamiltonian for a Periodically Tilted 1D Gas
- Controlled self-similar matter waves in PT-symmetric waveguide
- Dark solitons in a trapped gas of long-range interacting bosons