Vector rogue waves and dark-bright boomeronic solitons in autonomous and nonautonomous settings.

@article{Mareeswaran2014VectorRW,
  title={Vector rogue waves and dark-bright boomeronic solitons in autonomous and nonautonomous settings.},
  author={R. Babu Mareeswaran and Efstathios G Charalampidis and T. Kanna and P. G. Kevrekidis and Dimitri J. Frantzeskakis},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2014},
  volume={90 4},
  pages={
          042912
        }
}
In this work we consider the dynamics of vector rogue waves and dark-bright solitons in two-component nonlinear Schrödinger equations with various physically motivated time-dependent nonlinearity coefficients, as well as spatiotemporally dependent potentials. A similarity transformation is utilized to convert the system into the integrable Manakov system and subsequently the vector rogue and dark-bright boomeronlike soliton solutions of the latter are converted back into ones of the original… 
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References

SHOWING 1-10 OF 16 REFERENCES

Nonlinear Waves, Solitons and Chaos

1. Introduction 2. Linear waves and instabilities in infinite media 3. Convective and non-convective instabilities group velocity in unstable media 4. A first look at surface waves and instabilities

Optical Solitons: From Fibers to Photonic Crystals

Preface 1. Introduction 2. Spatial Solitons 3. Temporal Solitons 4. Dark Solitons 5. Bragg Solitons 6. Two-Dimensional Solitons 7. Spatiotemporal Solitons 8. Vortex Solitons 9. Vector Solitons 10.

Rogue Waves in the Ocean

Observation of Rogue Waves.- Deterministic and Statistical Approaches for Studying Rogue Waves.- Quasi-Linear Wave Focusing.- Rogue Waves in Waters of Infinite and Finite Depths.- Shallow-Water Rogue

Emergent nonlinear phenomena in Bose-Einstein condensates : theory and experiment

Basic Mean-Field Theory for Bose-Einstein Condensates.- Basic Mean-Field Theory for Bose-Einstein Condensates.- Bright Solitons in Bose-Einstein Condensates.- Bright Solitons in Bose-Einstein

Nonlinear Waves

Waveguide Propagation of Nonlinear WavesPeriodic, Solitary and Interacting Nonlinear Waves in Collisionless PlasmasNonlinear Periodic Waves and Their ModulationsNonlinear Wave EquationsA Course on

Theor

  • Math. Phys. 72, 809
  • 1987

Mezhov - Deglin , and P . V . E . McClintock

  • Phys . Rev . Lett .

) . [ 35 ] S . V . Manakov , Zh . Eksp . Teor . Fiz . 65 , 505 ( 1973 ) [ Sov

  • Phys . Rev . E
  • 2014

, and N . Akhmediev , Phys . Rev . X 2 , 011015 ( 2012 ) ; A . Chabchoub and M . Fink

  • Phys . Rev . Lett .
  • 2011