Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras

By Wenxiu Ma, Min Chen. 2006

318 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7d2c8de6b6fd4e4a8822c258523f1949dc433aae

How researchers see this paper

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

In Geometry and Topology

1. Wenxiu Ma
2. Jin-Yun Yang
3. Zuo-nong Zhu
4. Ma Wen-Xiu

In Statistical and Nonlinear Physics

1. Wenxiu Ma
2. Jin-Yun Yang
3. Yufeng Zhang
4. Xi-Xiang Xu
5. Xing Lü
6. Yuan Zhou
7. Zuo-nong Zhu
8. Zhenyun Qin

Citations in the corpus

• Application of the Riemann–Hilbert approach to the multicomponent AKNS integrable hierarchies (2019, background): “or more generally, the variational identity [20]:”
• Riemann–Hilbert problems andN-soliton solutions for a coupled mKdV system (2018, background): “25) with four components has a Hamiltonian structure [9], which can be generated using the trace identity [3], or more generally, the variational identity [7].”
• Long-Time Asymptotics of a Three-Component Coupled mKdV System (2019, methodology): “8) or more generally, the variational identity [34]: δ δu ∫ 〈W, ∂U ∂k 〉dx = k−γ ∂ ∂k [ k 〈W, ∂U ∂u 〉 ] , γ′ = − k 2 d dk ln |〈W, W〉|, (2.”
• The inverse scattering transform and soliton solutions of a combined modified Korteweg–de Vries equation (2019, background): “Choose a square matrix spectral matrix U = U(u, λ) from a given matrix loop algebra, whose underlying Lie algebra could be either semisimple [21,42] or non-semisimple [29].”