A parametrically forced nonlinear Schrodinger equation is considered. When the forcing is time independent the large time asymptotic solution is-found and is shown to correspond to the bound states of an associated linear Schrodinger equation. Special solutions are calculated and the relationship of this problem to other well known nonlinear evolution equations is discussed.
机构:
Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi ArabiaCent Univ Punjab, Dept Math & Stat, Bathinda 151401, Punjab, India