School of Mathematical & Statistical Sciences Faculty Publications and Presentations
A Note on the Bilinearization of the Generalized Derivative Nonlinear Schrödinger Equation
Document Type
Article
Publication Date
2021
Abstract
The bilinearization of the generalized derivative nonlinear Schrödinger (GDNLS) equation is investigated systematically. It is known recently that the GDNLS equation can be decomposed into two different bilinear systems under the vanishing and nonvanishing boundary condition, respectively. However, it remains a question of how these two systems are related. In this letter, we show that all the bilinear equations can be derived uniformly from the KP hierarchy through appropriate reductions. Bright and dark soliton solutions in terms of Gram-type determinants are presented.
Recommended Citation
Chen, Junchao, and Bao-Feng Feng. "A note on the bilinearization of the generalized derivative nonlinear Schrödinger equation." Journal of the Physical Society of Japan 90, no. 2 (2021): 023001. https://doi.org/10.7566/JPSJ.90.023001
Publication Title
Journal of the Physical Society of Japan
DOI
10.7566/JPSJ.90.023001
Comments
©2021 The Physical Society of Japan