Integrable properties of the general coupled nonlinear Schrödinger equations

By Deng‐Shan Wang, Da‐jun Zhang, Jianke Yang. 2010

362 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/44aaa044602a06bc86a8d3b7aadb8b4b1123db5b

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. Wenxiu Ma
2. Yasuhiro Ohta
3. Deng‐Shan Wang
4. Jianke Yang
5. Sergei K. Turitsyn
6. Yan Rybalko
7. Dmitry Shepelsky
8. Bo Yang

In Statistical and Nonlinear Physics

1. Wenxiu Ma
2. Jianke Yang
3. Yasuhiro Ohta
4. Deng‐Shan Wang
5. Jin-Yun Yang
6. Bo Yang
7. Yufeng Zhang
8. Xi-Xiang Xu

Citations in the corpus

• Application of the Riemann–Hilbert approach to the multicomponent AKNS integrable hierarchies (2019, methodology): “19c) a[3] = − β α3 i(pqx − pxq), d([3]) jl = − β α3 i(pl,xqj − plqj,x); (2.”
• General N‐Dark–Dark Solitons in the Coupled Nonlinear Schrödinger Equations (2011, methodology): “This contrasts collisions of bright–bright solitons in these same equations, where polarization rotation, power transfer and soliton reflection can occur [14, 16, 20].”
• The inverse scattering transform and soliton solutions of a combined modified Korteweg–de Vries equation (2019, methodology): “A few integrable equations, including the multiple wave interaction equations [37], the general coupled nonlinear Schrödinger equations [43], the Harry Dym equation [46], and the generalized Sasa–Satsuma equation [10], have been studied by the Riemann–Hilbert technique.”