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Daliang, China

Zhong W.-P.,Shunde Polytechnic | Zhong W.-P.,Texas A&M University at Qatar
Journal of Nonlinear Optical Physics and Materials | Year: 2012

By considering a simple one-dimensional Gross-Pitaevskii equation with variable coefficient, we study various rogue waves by the choice of different trapping potential coefficient. The trapping potential coefficient is used as an independent parameter function; a simple procedure is established to obtain different chasses of the scattering length and rogue wave solutions by using similarity transformation. A few properties of rogue wave solutions are also discussed. Our results demonstrate that the rogue waves can be controlled by selecting appropriate trapping potential coefficients. © 2012 World Scientific Publishing Company. Source

Zhang Y.,Xian Jiaotong University | Liu X.,Xian Jiaotong University | Belic M.R.,Texas A&M University at Qatar | Zhong W.,Shunde Polytechnic | Wen F.,Xian Jiaotong University
Optics Letters | Year: 2015

We analytically and numerically investigate an anharmonic propagation of two-dimensional beams in a harmonic potential. We pick noncentrosymmetric beams of common interest that carry orbital angular momentum. The examples studied include superposed Bessel-Gauss (BG), Laguerre-Gauss (LG), and circular Airy (CA) beams. For the BG beams, periodic inversion, phase transition, and rotation with periodic angular velocity are demonstrated during propagation. For the LG and CA beams, periodic inversion and variable rotation are still there but not the phase transition. On the whole, the "center of mass" and the orbital angular momentum of a beam exhibit harmonic motion, but the motion of the beam intensity distribution in detail is subject to external and internal torques and forces, causing it to be anharmonic. Our results are applicable to other superpositions of finite circularly asymmetric beams. © 2015 Optical Society of America. Source

Zhong W.-P.,Shunde Polytechnic | Belic M.,Texas A&M University at Qatar | Zhang Y.,Xian Jiaotong University | Huang T.,Texas A&M University at Qatar
Annals of Physics | Year: 2014

A general approach to generating three-dimensional nondiffracting spatiotemporal solutions of the linear Schrödinger equation with an Airy-beam time-dependence is reported. A class of accelerating optical pulses with the structure of Airy-Gauss-Kummer vortex beams is obtained. Our results demonstrate that the optical field contributions to the Airy-Gauss-Kummer accelerating optical wave packets of the cylindrical symmetry can be characterized by the radial and angular mode numbers. © 2013 Elsevier Inc. Source

Zhong W.-P.,Shunde Polytechnic | Zhong W.-P.,Texas A&M University at Qatar | Belic M.,Texas A&M University at Qatar | Zhang Y.,Xian Jiaotong University
Optics Express | Year: 2015

Nonlinear Schrödinger equation with simple quadratic potential modulated by a spatially-varying diffraction coefficient is investigated theoretically. Second-order rogue wave breather solutions of the model are constructed by using the similarity transformation. A modal quantum number is introduced, useful for classifying and controlling the solutions. From the solutions obtained, the behavior of second order Kuznetsov-Ma breathers (KMBs), Akhmediev breathers (ABs), and Peregrine solitons is analyzed in particular, by selecting different modulation frequencies and quantum modal parameter. We show how to generate interesting second order breathers and related hybrid rogue waves. The emergence of true rogue waves - single giant waves that are generated in the interaction of KMBs, ABs, and Peregrine solitons - is explicitly displayed in our analytical solutions. © 2015 Optical Society of America. Source

Zhong W.-P.,Shunde Polytechnic | Zhong W.-P.,Texas A&M University at Qatar | Belic M.R.,Texas A&M University at Qatar
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | Year: 2010

We report on the nonlinear tunneling effects of spatial solitons of the generalized nonlinear Schrödinger equation with distributed coefficients in an external harmonic potential. By using the homogeneous balance principle and the F-expansion technique we find the spatial bright and dark soliton solutions. We then display tunneling effects of such solutions occurring under special conditions; specifically when the spatial solitons pass unchanged through the potential barriers and wells affected by special choices of the diffraction and/or the nonlinearity coefficients. Our results show that the solitons display tunneling effects not only when passing through the nonlinear potential barriers or wells but also when passing through the diffractive barriers or wells. During tunneling the solitons may also undergo a controllable compression. © 2010 The American Physical Society. Source

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