Xianguo Geng

Statistical and Nonlinear Physics · 2001–2018

A researcher in the Science corpus: 15 papers; trusts 13 researchers and is trusted by 8 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 40 citations into it; #1,873 of 10,127 by trust here, #1,867 by citations
• Geometry and Topology — 20 citations into it; #3,091 of 7,422 by trust here, #1,580 by citations
• Mathematical Physics — 15 citations into it
• Oceanography — 5 citations into it

Whom Xianguo Geng trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Adrian Constantin
2. Jonatan Lenells
3. R. Johnson
4. A. S. Fokas
5. Andrew N. W. Hone
6. Helge Holden
7. Hans Lundmark
8. Luca Zampogni
9. Gregorio Falqui
10. Alberto Bressan

Who trusts Xianguo Geng overall

1. Abdul-Majid Wazwaz
2. Wenxiu Ma
3. Shou‐Fu Tian
4. Xing-Ping Wu
5. Hui-hui Dai
6. Hong-qing Zhang
7. Zhaoyang Yin
8. Mohammad Mirzazadeh
9. Rafael F. Barostichi

Papers from Xianguo Geng's perspective

Ordered by how strongly the researchers Xianguo Geng trusts endorse each paper. Same corpus, a different order for every researcher.

1. On the scattering problem for the Camassa-Holm equation (Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
2. The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations
3. Large time existence for 3D water-waves and asymptotics
4. Stability of peakons
5. Multi-peakon solutions of the Degasperis–Procesi equation
6. Global Conservative Solutions of the Camassa–Holm Equation
7. A convergent numerical scheme for the Camassa--Holm equation based on multipeakons
8. On solutions of the Camassa-Holm equation (Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
9. Inverse scattering transform for the Camassa–Holm equation (Inverse Problems)
10. On a Camassa-Holm type equation with two dependent variables

Their papers

• The Deift–Zhou steepest descent method to long-time asymptotics for the Sasa–Satsuma equation (2018) — 95 citations
• The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices (2017) — 92 citations
• Riemann–Hilbert approach and N-soliton solutions for a generalized Sasa–Satsuma equation (2016) — 171 citations
• Initial‐Boundary Value Problems for the Coupled Nonlinear Schrödinger Equation on the Half‐Line (2015) — 74 citations
• Algebro-geometric solutions of the coupled modified Korteweg–de Vries hierarchy (2014) — 147 citations
• Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation (2012) — 140 citations
• A three-component generalization of Camassa–Holm equation with N-peakon solutions (2011) — 82 citations
• Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions (2011) — 88 citations
• An extension of integrable peakon equations with cubic nonlinearity (2009) — 157 citations
• N-soliton solution and its Wronskian form of a (3+1)-dimensional nonlinear evolution equation (2007) — 140 citations
• Decomposition of the Discrete Ablowitz–Ladik Hierarchy (2007) — 124 citations
• Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations (2003) — 144 citations
• Algebro–geometric constructions of the discrete Ablowitz–Ladik flows and applications (2003) — 59 citations
• Algebro-geometric solution of the 2+1 dimensional Burgers equation with a discrete variable (2002) — 89 citations
• Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions (2001) — 142 citations