R. Radhakrishnan et M. Lakshmanan, EXACT SOLITON-SOLUTIONS TO COUPLED NONLINEAR SCHRODINGER-EQUATIONS WITH HIGHER-ORDER EFFECTS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(3), 1996, pp. 2949-2955
We derive the exact bright and dark soliton solutions of a set of coup
led nonlinear Schrodinger equations with higher-order linear and nonli
near dispersion terms included, ibr a specific set of parameters by us
ing the Hirota bilinear approach, so as to get some ideas about the ro
le of these terms for coupled soliton dynamics. Further, by considerin
g the additional nonlinear effects resulting from the delayed nonlinea
r response, we have noted corresponding changes in the above soliton s
olutions.