Integrable evolution systems based on Gerdjikov-Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation

By Engui Fan. 2000

183 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/81251fb7c7661f1c128df6d63223941afc8ff6bc

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. Xing Lü
2. Jingsong He
3. Jun Yu
4. Wenxiu Ma
5. Chaudry Masood Khalique
6. Fuhong Lin
7. Shuwei Xu

In Statistical and Nonlinear Physics

1. Wenxiu Ma
2. Xing Lü
3. Jingsong He
4. Jun Yu
5. Chaudry Masood Khalique
6. Fuhong Lin
7. Shuwei Xu
8. Jin-Yun Yang

Citations in the corpus

• The rogue wave and breather solution of the Gerdjikov-Ivanov equation (2011, methodology): “[22] E.G. Fan, 2000, Integrable evolution systems based on GerdjikovCIvanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation, J.Math.”
• Envelope bright- and dark-soliton solutions for the Gerdjikov–Ivanov model (2015, methodology): “[38], the spectral problem with the associated Gerdjikov–Ivanov hierarchy of nonlinear evolution equations is presented, and its bi-Hamiltonian structure, finite-dimensional integrable systems and N fold Darboux transformation have also been studied.”