Special soliton structures in the (2+1)-dimensional nonlinear Schrdinger equation with radially variable diffraction and nonlinearity coefficients. Academic Article uri icon

abstract

  • Applying Hirota's binary operator approach to the (2+1)-dimensional nonlinear Schrdinger equation with the radially variable diffraction and nonlinearity coefficients, we derive a variety of exact solutions to the equation. Based on the solitary wave solutions derived, we obtain some special soliton structures, such as the embedded, conical, circular, breathing, dromion, ring, and hyperbolic soliton excitations. For some specific choices of diffraction and nonlinearity coefficients, we discuss features of the (2+1)-dimensional multisolitonic solutions.

published proceedings

  • Phys Rev E Stat Nonlin Soft Matter Phys

author list (cited authors)

  • Zhong, W., Beli, M. R., & Xia, Y.

citation count

  • 28

complete list of authors

  • Zhong, Wei-Ping||Belić, Milivoj R||Xia, Yuzhou

publication date

  • March 2011