Application of Darboux Transformation to solve Multisoliton Solution on Non-linear Schrödinger Equation

Details Application of Darboux Transformation to solve Multisoliton Solution on Non-linear Schrödinger Equation Application of Darboux Transformation to solve Multisoliton Solution on Non-linear Schrödinger Equation

2009-10-06

arxiv.org/abs/0910.0901v1

Physics

Mathematical Physics

5 figures, 7 pages. Chapter 5 of undergraduate thesis, ITB (2000)

Scientific paper

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.

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