Dmitry E. Pelinovsky

Mathematical Physics · 2000–2016

A researcher in the Science corpus: 7 papers; trusts 14 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 14 citations into it; #4,789 of 8,562 by trust here, #4,022 by citations
• Statistical and Nonlinear Physics — 13 citations into it; #4,057 of 10,127 by trust here, #3,979 by citations

Whom Dmitry E. Pelinovsky trusts overall

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

1. Peter D. Miller
2. Hideo Takaoka
3. Todd Kapitula
4. Percy Deift
5. Panayotis G. Kevrekidis
6. Jiaqi Liu
7. Scipio Cuccagna
8. A. Sukhorukov
9. Varsha Daftardar-Gejji
10. Yifei Wu

Who trusts Dmitry E. Pelinovsky overall

1. Zhiwu Lin
2. Abdul-Majid Wazwaz
3. Marina Chugunova
4. C. Zeng
5. Randolph C. Rach

Papers from Dmitry E. Pelinovsky's perspective

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

1. Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
2. Spatial optical solitons in waveguide arrays
3. Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering
4. Spectra of positive and negative energies in the linearized NLS problem
5. Perturbation theory for linear operators
6. Methods of Modern Mathematical Physics. I: Functional Analysis
7. Stabilization of solutions to nonlinear Schrödinger equations
8. Topics in Nonlinear Functional Analysis
9. Josephson Junction Arrays with Bose-Einstein Condensates (Science)
10. Matrix analysis

Their papers

• Existence of global solutions to the derivative NLS equation with the inverse scattering transform method (2016) — 92 citations
• Convergence of the Adomian decomposition method for initial‐value problems (2011) — 131 citations
• Localization in Periodic Potentials: From Schrodinger Operators to the Gross-Pitaevskii Equation (2011) — 147 citations
• Count of eigenvalues in the generalized eigenvalue problem (2006) — 72 citations
• Stability of discrete solitons in nonlinear Schrödinger lattices (2005) — 147 citations
• Spectra of positive and negative energies in the linearized NLS problem (2005) — 133 citations
• Self-focusing and transverse instabilities of solitary waves (2000) — 357 citations