BRIGHT SOLITON DYNAMICS OF ONE-DIMENSIONAL QUANTUM SYSTEM WITH HIGHER-ORDER NONLINEAR INTERACTION AND DISPERSION EFFECTS
SHIFENG LI
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, China
YING WANG *
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, China
*Author to whom correspondence should be addressed.
Abstract
We investigate the typical quantum systems that are modeled by the (1+1)-dimensional Schrodinger equation, which contains third-order and fourth-order dispersion eects, higher-order scattering effects and cubic-quintic-septic nonlinear interaction. By using the F-expansion method, we solvethis higher-order Schrodinger equation, identifying the bright soliton solution under appropriate system settings. The bright soliton features are shown by exact numerical evaluation, followed by analytical features derivation at the boundaries of the bright soliton wave form, demonstrating the applicability of the theoretical treatment presented in this study.
Keywords: Bright soliton, septic nonlinearity, higher-order dispersion effect, F-expansion method