Traveling wave and soliton solutions of coupled nonlinear Schrdinger equations with harmonic potential and variable coefficients. Academic Article uri icon

abstract

  • Exact traveling wave and soliton solutions, including the bright-bright and dark-dark soliton pairs, are found for the system of two coupled nonlinear Schrdinger equations with harmonic potential and variable coefficients, by employing the homogeneous balance principle and the F-expansion technique. A kind of shape-changing soliton collision is identified in the system. The collision is essentially elastic between the two solitons with opposite velocities. Our results demonstrate that the dynamics of solitons can be controlled by selecting the diffraction, nonlinearity, and gain coefficients.

published proceedings

  • Phys Rev E Stat Nonlin Soft Matter Phys

author list (cited authors)

  • Zhong, W., & Beli, M.

citation count

  • 32

complete list of authors

  • Zhong, Wei-Ping||Belić, Milivoj

publication date

  • October 2010