Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions MJ Ablowitz, XD Luo, ZH Musslimani Journal of Mathematical Physics 59 (1), 2018 | 192 | 2018 |
General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions BF Feng, XD Luo, MJ Ablowitz, ZH Musslimani Nonlinearity 31 (12), 5385, 2018 | 163 | 2018 |
Reverse space‐time nonlocal sine‐Gordon/sinh‐Gordon equations with nonzero boundary conditions MJ Ablowitz, BF Feng, XD Luo, ZH Musslimani Studies in Applied Mathematics 141 (3), 267-307, 2018 | 87 | 2018 |
Value sharing results for shifts of meromorphic functions X Luo, WC Lin Journal of mathematical analysis and applications 377 (2), 441-449, 2011 | 66 | 2011 |
Inverse scattering transform for the nonlocal reverse space–time nonlinear Schrödinger equation MJ Ablowitz, BF Feng, XD Luo, ZH Musslimani Theoretical and Mathematical Physics 196 (3), 1241-1267, 2018 | 65 | 2018 |
Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons MJ Ablowitz, XD Luo, ZH Musslimani Nonlinearity 33 (7), 3653, 2020 | 40 | 2020 |
Inverse scattering transform for the complex reverse space-time nonlocal modified Korteweg-de Vries equation with nonzero boundary conditions and constant phase shift XD Luo Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (7), 2019 | 21 | 2019 |
Solitons, the Korteweg-de Vries equation with step boundary values, and pseudo-embedded eigenvalues MJ Ablowitz, XD Luo, JT Cole Journal of Mathematical Physics 59 (9), 2018 | 16 | 2018 |
Integrable nonlocal derivative nonlinear Schrödinger equations MJ Ablowitz, XD Luo, ZH Musslimani, Y Zhu Inverse Problems 38 (6), 065003, 2022 | 13 | 2022 |
Inverse scattering transform for the nonlocal reverse space-time Sine-Gordon, Sinh-Gordon and nonlinear Schr\"{o} dinger equations with nonzero boundary conditions MJ Ablowitz, BF Feng, XD Luo, ZH Musslimani arXiv preprint arXiv:1703.02226, 2017 | 13 | 2017 |
Imaginary eigenvalues of Zakharov–Shabat problems with non-zero background G Biondini, X Luo Physics Letters A 382 (37), 2632-2637, 2018 | 8 | 2018 |
Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics MJ Ablowitz, JT Cole, GA El, MA Hoefer, XD Luo Studies in Applied Mathematics 151 (3), 795-856, 2023 | 7 | 2023 |
Uniqueness of meromorphic functions concerning fixed points LQ Wang, XD Luo Mathematica Slovaca 62 (1), 29-38, 2012 | 5 | 2012 |
Three-wave interaction equations: classical and nonlocal MJ Ablowitz, XD Luo, ZH Musslimani SIAM Journal on Mathematical Analysis 55 (4), 4089-4139, 2023 | 4 | 2023 |
Six wave interaction equations in finite-depth gravity waves with surface tension MJ Ablowitz, XD Luo, ZH Musslimani Journal of Fluid Mechanics 961, A3, 2023 | 4 | 2023 |
Difference Nevanlinna theories with vanishing and infinite periods YM Chiang, XD Luo Michigan Mathematical Journal 66 (3), 451-480, 2017 | 4 | 2017 |
On the Nevanlinna characteristic of confluent hypergeometric functions XD Luo, WC Lin Complex Variables and Elliptic Equations 65 (2), 200-214, 2020 | 2 | 2020 |
On the Whittaker-Hill equation and difference Nevanlinna theories with vanishing and infinite periods X Luo PQDT-Global, 2016 | 1 | 2016 |
Some new properties of Confluent Hypergeometric Functions XD Luo, WC Lin arXiv preprint arXiv:1509.06465, 2015 | 1 | 2015 |
Elliptic finite-band potentials of a non-self-adjoint Dirac operator G Biondini, XD Luo, J Oregero, A Tovbis Advances in Mathematics 429, 109188, 2023 | | 2023 |