On exact solution for some integrable nonlinear equations of the Schr\"odinger type
solv-int
2008-02-03 v1 Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
patt-sol
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.
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Cite
@article{arxiv.solv-int/9305003,
title = {On exact solution for some integrable nonlinear equations of the Schr\"odinger type},
author = {V. G. Makhankov},
journal= {arXiv preprint arXiv:solv-int/9305003},
year = {2008}
}
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