High‐Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations

By B. Guo, Liming Ling, Q. P. Liu. 2012

261 citations recorded by the source corpus.

By means of certain limit technique, two kinds of generalized Darboux transformations are constructed for the derivative nonlinear Schrödinger equations (DNLS). These transformations are shown to lead to two solution formulas for DNLS in terms of determinants. As applications, several different types of high‐order solutions are calculated for this equation.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/17ffde315b5d9989637011e4eb7f7182991e3c70

How researchers see this paper

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

In Modeling and Simulation

1. B. Feng
2. Zuo-nong Zhu
3. Jianke Yang
4. Liming Ling

In Numerical Analysis

1. B. Feng
2. Zuo-nong Zhu
3. Liming Ling

In Statistical and Nonlinear Physics

1. Bo Yang
2. B. Feng
3. Zuo-nong Zhu
4. Jianke Yang
5. Liming Ling
6. Yasuhiro Ohta
7. Sergei K. Turitsyn
8. Yan Rybalko

Citations in the corpus

• Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation (2015, methodology): “Through the standard iterated step for DT [47], we can obtain the N-fold DT.”
• Dynamics of rogue waves in the Davey–Stewartson II equation (2012, background): “Ik (Some figures may appear in colour only in the online journal)”
• Transformations between Nonlocal and Local Integrable Equations (2017, background): “[34], and it is a moving soliton on a constant background.”