Mark J. Ablowitz
Statistical and Nonlinear Physics · 2000–2017
A researcher in the Science corpus: 11 papers; trusts 17 researchers and is trusted by 27 researchers here, as inferred from the citation graph.
Subfields
- Statistical and Nonlinear Physics — 54 citations into it; #640 of 10,127 by trust here, #1,183 by citations
- Atomic and Molecular Physics, and Optics — 49 citations into it; #378 of 7,135 by trust here, #2,213 by citations
- Electrical and Electronic Engineering — 7 citations into it
- Mathematical Physics — 7 citations into it
- Numerical Analysis — 5 citations into it; #1,078 of 3,586 by trust here, #1,289 by citations
Whom Mark J. Ablowitz trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- A. S. Fokas
- Lokenath Debnath
- Yuri Kivshar
- Gino Biondini
- Govind P. Agrawal
- Jianke Yang
- Peter A. Clarkson
- Ziad Musslimani
- K. Makris
- Walter Craig
Who trusts Mark J. Ablowitz overall
- Yan Rybalko
- R. Korhonen
- Bo Yang
- B. Feng
- R. Halburd
- Jiguang Rao
- Dmitry Shepelsky
- Xu‐Dan Luo
- V. Gerdjikov
- Ziad Musslimani
Papers from Mark J. Ablowitz's perspective
Ordered by how strongly the researchers Mark J. Ablowitz trusts endorse each paper. Same corpus, a different order for every researcher.
- Hamiltonian long–wave expansions for water waves over a rough bottom (Proceedings of the Royal Society A)
- On the efficient numerical simulation of directionally spread surface water waves
- THE DIRECT METHOD IN SOLITON THEORY (Cambridge Tracts in Mathematics 155)
- Integrable Nonlocal Nonlinear Equations
- Integrable nonlocal nonlinear Schrödinger equation. (Physical Review Letters)
- Solitons and the Inverse Scattering Transform
- Towards a gauge-equivalent magnetic structure of the nonlocal nonlinear Schrödinger equation
- Nonlinear waves in PT -symmetric systems
- Optical Solitons: From Fibers to Photonic Crystals
- Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons
Their papers
- General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions (2017) — 197 citations
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation (2016) — 225 citations
- Integrable Nonlocal Nonlinear Equations (2016) — 538 citations
- Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions (2016) — 204 citations
- Integrable nonlocal nonlinear Schrödinger equation. (2013) — 778 citations
- Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons (2011) — 411 citations
- Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions (2007) — 453 citations
- Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions (2006) — 168 citations
- On a new non-local formulation of water waves (2006) — 150 citations
- Dispersive and classical shock waves in Bose-Einstein condensates and gas dynamics (2006) — 257 citations
- On the extension of the Painlevé property to difference equations (2000) — 235 citations