Application of Darboux Transformation to solve Multisoliton Solution on Non-linear Schr\"odinger Equation
Mathematical Physics
2014-11-24 v2 math.MP
Abstract
Darboux transformation is one of the methods used in solving nonlinear evolution equation. Basically, the Darboux transformation is a linear algebra formulation of the solutions of the Zakharov-Shabat system of equations associated with the nonlinear evolution equation. In this work, the evolution of monochromatic electromagnetic wave in a nonlinear-dispersive optical medium is considered. Using the Darboux transformation, explicit multisoliton solutions (one to three soliton solutions) are obtained from a trivial initial solution.
Keywords
Cite
@article{arxiv.0910.0901,
title = {Application of Darboux Transformation to solve Multisoliton Solution on Non-linear Schr\"odinger Equation},
author = {Agung Trisetyarso},
journal= {arXiv preprint arXiv:0910.0901},
year = {2014}
}
Comments
5 figures, 7 pages. Chapter 5 of undergraduate thesis, ITB (2000)