Dmitry Shepelsky

Statistical and Nonlinear Physics · 2003–2021

A researcher in the Science corpus: 6 papers; trusts 14 researchers and is trusted by 7 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 27 citations into it; #3,775 of 10,127 by trust here, #5,625 by citations
• Atomic and Molecular Physics, and Optics — 13 citations into it; #5,306 of 7,135 by trust here, #6,080 by citations
• Numerical Analysis — 8 citations into it; #3,017 of 3,586 by trust here, #1,659 by citations
• Mathematical Physics — 7 citations into it; #5,637 of 8,562 by trust here, #4,785 by citations

Whom Dmitry Shepelsky trusts overall

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

1. A. S. Fokas
2. Mark J. Ablowitz
3. Jianke Yang
4. Adrian Constantin
5. Ziad Musslimani
6. M. Gurses
7. Gino Biondini
8. Xu‐Dan Luo
9. B. Feng
10. Anne Boutet de Monvel

Who trusts Dmitry Shepelsky overall

1. B. Guo
2. Guoping Zhang
3. A. S. Fokas
4. Anne Boutet de Monvel
5. Nan Liu
6. Z. Qiao
7. Shou‐Fu Tian

Papers from Dmitry Shepelsky's perspective

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

1. Integrable Nonlocal Nonlinear Equations
2. Nonlinear waves in PT -symmetric systems
3. General N-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations (Physics Letters)
4. The generalized Dirichlet‐to‐Neumann map for certain nonlinear evolution PDEs
5. A new transform method for evolution partial differential equations
6. On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves (Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
7. On the scattering problem for the Camassa-Holm equation (Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
8. Stability of peakons
9. Inverse scattering transform for the Camassa–Holm equation (Inverse Problems)
10. Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation

Their papers

• THE mKdV EQUATION ON THE HALF-LINE (2004) — 105 citations
• Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data (2021) — 56 citations
• The Ostrovsky–Vakhnenko equation: A Riemann–Hilbert approach (2014) — 74 citations
• Integrable Nonlinear Evolution Equations on a Finite Interval (2006) — 84 citations
• Riemann-Hilbert approach for the Camassa-Holm equation on the line (2006) — 107 citations
• Analysis of the Global Relation for the Nonlinear Schrödinger Equation on the Half-line (2003) — 96 citations