CHAOTIC BEHAVIOR OF ONE-DIMENSIONAL NONLINEAR SCHRODINGER-EQUATIONS INVOLVING HIGH-ORDER SATURABLE NONLINEAR TERMS

The non-integrable behavior in one-dimensional generalized nonlinear S chrodinger equations involving high order saturable nonlinearities, wh ich govern the dynamic behavior in a class of physical systems, is inv estigated numerically. The numerical results illustrate that the high order saturable nonlinearities would lead to chaos, where the irregula r homoclinic orbit (HMO) crossings have been observed in phase space. On the other hand, we show that the periodic solutions and solitary wa ves may exist in such non-integrable continuum Hamiltonian dynamic sys tems.