Edit Profile (opens in new tab) Rybalko, Yan Co-Author Distance Author ID: rybalko.yan Published as: Rybalko, Yan; Rybalko, Ya. External Links: ORCID · Google Scholar · ResearchGate Documents Indexed: 13 Publications since 2018, including 3 Additional arXiv Preprints Co-Authors: 3 Co-Authors with 11 Joint Publications 144 Co-Co-Authors Co-Authors 2 single-authored 9 Shepelsky, Dmitry 2 Karlsen, Kenneth Hvistendahl 1 Boutet de Monvel, Anne Marie all top 5 Serials 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Differential Equations 1 Studies in Applied Mathematics 1 Physica D 1 Opuscula Mathematica 1 Discrete and Continuous Dynamical Systems 1 Visnyk Kharkivs’kogo Universytetu. Seriya Matematyka, Prykladna Matematyka i Mekhanika 1 Journal of Mathematical Physics, Analysis, Geometry Fields 11 Partial differential equations (35-XX) 9 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 8 Publications have been cited 70 times in 41 Documents Cited by ▼ Year ▼ Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1436.35293 Rybalko, Yan; Shepelsky, Dmitry 26 2019 Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data. Zbl 1451.35194 Rybalko, Yan; Shepelsky, Dmitry 17 2021 Long-time asymptotics for the integrable nonlocal focusing nonlinear Schrödinger equation for a family of step-like initial data. Zbl 1462.35367 Rybalko, Yan; Shepelsky, Dmitry 9 2021 Riemann-Hilbert approach for the integrable nonlocal nonlinear Schrödinger equation with step-like initial data. Zbl 1424.35316 Rybalko, Ya.; Shepelsky, D. 5 2018 Initial value problem for the time-dependent linear Schrödinger equation with a point singular potential by the unified transform method. Zbl 1406.35316 Rybalko, Yan 4 2018 Defocusing nonlocal nonlinear Schrödinger equation with step-like boundary conditions: long-time behavior for shifted initial data. Zbl 1488.35091 Rybalko, Yan; Shepelsky, Dmitry 4 2020 Curved wedges in the long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1479.35821 Rybalko, Yan; Shepelsky, Dmitry 4 2021 Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation. Zbl 1490.35448 Rybalko, Yan; Shepelsky, Dmitry 1 2021 Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data. Zbl 1451.35194 Rybalko, Yan; Shepelsky, Dmitry 17 2021 Long-time asymptotics for the integrable nonlocal focusing nonlinear Schrödinger equation for a family of step-like initial data. Zbl 1462.35367 Rybalko, Yan; Shepelsky, Dmitry 9 2021 Curved wedges in the long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1479.35821 Rybalko, Yan; Shepelsky, Dmitry 4 2021 Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation. Zbl 1490.35448 Rybalko, Yan; Shepelsky, Dmitry 1 2021 Defocusing nonlocal nonlinear Schrödinger equation with step-like boundary conditions: long-time behavior for shifted initial data. Zbl 1488.35091 Rybalko, Yan; Shepelsky, Dmitry 4 2020 Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1436.35293 Rybalko, Yan; Shepelsky, Dmitry 26 2019 Riemann-Hilbert approach for the integrable nonlocal nonlinear Schrödinger equation with step-like initial data. Zbl 1424.35316 Rybalko, Ya.; Shepelsky, D. 5 2018 Initial value problem for the time-dependent linear Schrödinger equation with a point singular potential by the unified transform method. Zbl 1406.35316 Rybalko, Yan 4 2018 all cited Publications top 5 cited Publications all top 5 Cited by 67 Authors 5 Rybalko, Yan 5 Shepelsky, Dmitry 4 Ma, Wen-Xiu 3 Fan, Engui 3 Wang, Jing 2 An, Licong 2 Cheng, Yi 2 He, Hongjun 2 He, Jingsong 2 Hu, Beibei 2 Mihalache, Dumitru 2 Pang, Zhifeng 2 Rao, Jiguang 2 Shen, Zuyi 2 Tian, Shoufu 2 Wang, Xueru 2 Xu, Tao 2 Zhang, Dajun 2 Zhang, Ling 2 Zhang, Tianli 2 Zhu, Junyi 1 Charalampidis, Efstathios G. 1 Chen, Guiying 1 Chen, Jie 1 Chen, Yang 1 Chen, Yong 1 Cooper, Fred 1 Dawson, John F. 1 Fang, Fang 1 Grava, Tamara 1 Guo, Handong 1 Han, Lijun 1 He, Feng-Jing 1 Huang, Yehui 1 Jiang, Xueling 1 Karpenko, Iryna 1 Khare, Avinash 1 Lei, Ling 1 Li, Biao 1 Li, Bowen 1 Li, Jian 1 Li, Yu-Yue 1 Liu, Leilei 1 Liu, Shimin 1 Liu, Shuzhi 1 Liu, Yunkai 1 Lu, Yufeng 1 Meng, Bo 1 Meng, Dexin 1 Minakov, Alexander 1 Saxena, Avadh Behari 1 Wang, Baoxiang 1 Wang, Fudong 1 Wu, Hua 1 Wu, Jianping 1 Wu, Xin 1 Wu, Yanqiang 1 Xia, Tie-Cheng 1 Xin, Xiangpeng 1 Xu, Chuanxin 1 Xu, Jian 1 Xu, Taiyang 1 Yang, Bo 1 Zhang, Feng 1 Zhang, Weiguo 1 Zhou, Xuan 1 Zhou, Zixiang all top 5 Cited in 29 Serials 3 Studies in Applied Mathematics 3 Physica D 3 Boundary Value Problems 2 Journal of Differential Equations 2 Applied Mathematics Letters 2 Nonlinear Dynamics 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Mathematical Physics, Analysis, Geometry 2 Communications in Theoretical Physics 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 SIAM Journal on Mathematical Analysis 1 Discrete and Continuous Dynamical Systems 1 Mathematical Physics, Analysis and Geometry 1 Journal of Nonlinear Mathematical Physics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in Mathematical Physics 1 Analysis and Mathematical Physics all top 5 Cited in 8 Fields 41 Partial differential equations (35-XX) 23 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 2 Approximations and expansions (41-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year