Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation

By Engui Fan. 2000

191 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/21bf85b0b3e26f35fffaf4ca5f36cc4a9623a3c0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Catherine Sulem
2. Peter Perry
3. Jiaqi Liu
4. Lihong Wang
5. Jingsong He
6. Shuwei Xu

In Statistical and Nonlinear Physics

1. Catherine Sulem
2. Peter Perry
3. Jiaqi Liu
4. Lihong Wang
5. Jingsong He
6. Shuwei Xu
7. Dmitry E. Pelinovsky
8. Wenxiu Ma

Citations in the corpus

• The Darboux transformation of the derivative nonlinear Schrödinger equation (2011, methodology): “[35] Jingsong He,Shuwei Xu,Lihong Wang, The Rogue wave of the Variable Coefficient Derivative Nonlinear Schrodinger equation(in preparation 2011) [36] Engui Fan, 2000, Darboux transformation and Soliton-like solutions for the Gerdjikov-Ivanov equation, J. Phys.”
• Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering (2015, methodology): “The latter equation is sometimes referred to as the Gerjikov–Ivanov equation [10].”
• The rogue wave and breather solution of the Gerdjikov-Ivanov equation (2011, methodology): “Although the DT of the GI has also been given before in reference [21, 22], there are two new points in present paper: 1) the one-fold DT has a one-dimensional kernel; 2) the BA solution and RW are new, which are constructed from a non-zero “seed”, because Fan has just got solitons from zero “seed” ”