On exact solution for some integrable nonlinear equations of the Schr\"odinger type

Dubna; Joint Institute for Nuclear Research; LANL; LCTA; Moscow; Russia); V.G. Makhankov (Center for Nonlinear Studies

arxiv: solv-int/9305003 · v1 · submitted 1993-05-28 · solv-int · nlin.PS· nlin.SI· patt-sol

On exact solution for some integrable nonlinear equations of the Schr\"odinger type

V.G. Makhankov (Center for Nonlinear Studies , LANL , Joint Institute for Nuclear Research , LCTA , Dubna , Moscow , Russia) This is my paper

classification solv-int nlin.PSnlin.SIpatt-sol

keywords discussedequationsschrodingertypegivennonlinearpotentialssome

0 comments

read the original abstract

The outlook of a simple method to generate localized (soliton-like) potentials of time-dependent Schrodinger type equations is given. The conditions are discussed for the potentials to be real and nonsingular. For the derivative Schrodinger equation also is discussed its relation to the Ishimori-II model. Some pecular soliton solutions of nonlinear Schrodinger type equations are given and discussed.

This paper has not been read by Pith yet.

On exact solution for some integrable nonlinear equations of the Schr\"odinger type

discussion (0)