Fast inverse nonlinear Fourier transformation using exponential one-step methods: Darboux transformation V Vaibhav Physical Review E 96 (6), 063302, 2017 | 37 | 2017 |
Fast inverse nonlinear Fourier transforms for continuous spectra of Zakharov-Shabat type S Wahls, V Vaibhav arXiv preprint arXiv:1607.01305, 2016 | 31 | 2016 |
Higher Order Convergent Fast Nonlinear Fourier Transform V Vaibhav IEEE Photonics Technology Letters 30 (8), 700-703, 2018 | 29 | 2018 |
Measurement-induced optical Kerr interaction S Sefi, V Vaibhav, P van Loock Physical Review A—Atomic, Molecular, and Optical Physics 88 (1), 012303, 2013 | 25 | 2013 |
Fast inverse nonlinear Fourier transform V Vaibhav Physical Review E 98 (1), 013304, 2018 | 21 | 2018 |
Introducing the fast inverse NFT V Vaibhav, S Wahls 2017 Optical Fiber Communications Conference and Exhibition (OFC), 1-3, 2017 | 15 | 2017 |
Exact solution of the Zakharov–Shabat scattering problem for doubly-truncated multisoliton potentials V Vaibhav Communications in Nonlinear Science and Numerical Simulation 61, 22-36, 2018 | 14 | 2018 |
Efficient nonlinear Fourier transform algorithms of order four on equispaced grid V Vaibhav IEEE Photonics Technology Letters 31 (15), 1269-1272, 2019 | 13 | 2019 |
Nonlinear Fourier Transform of Time-Limited and One-sided Signals V Vaibhav Journal of Physics A: Mathematical and Theoretical 51 (42), 425201, 2018 | 13 | 2018 |
Multipoint Newton-type nonlinear Fourier transform for detecting multi-solitons V Vaibhav, S Wahls Optical Fiber Communication Conference, W2A. 34, 2016 | 10 | 2016 |
Fast inverse nonlinear Fourier transforms for fiber Bragg grating design and related problems S Wahls, V Vaibhav arXiv preprint arXiv:1607.01305, 2016 | 9 | 2016 |
Artificial boundary conditions for certain evolution PDEs with cubic nonlinearity for non-compactly supported initial data V Vaibhav Journal of Computational Physics 230 (8), 3205-3229, 2011 | 8 | 2011 |
On the nonreflecting boundary operators for the general two dimensional Schrödinger equation V Vaibhav Journal of Mathematical Physics 60 (1), 011509, 2019 | 6 | 2019 |
Transparent boundary condition for numerical modeling of intense laser–molecule interaction V Vaibhav Journal of Computational Physics 283, 478-494, 2015 | 5 | 2015 |
Darboux transformation: new identities V Vaibhav Physica Scripta 94 (11), 115504, 2019 | 4 | 2019 |
Nonlinearly bandlimited signals V Vaibhav Journal of Physics A: Mathematical and Theoretical 52 (10), 105202, 2019 | 3 | 2019 |
New method of computing prolate spheroidal wavefunctions and bandlimited extrapolation: a general approach to bandlimited Fredholm kernels V Vaibhav arXiv preprint arXiv:1804.04713, 2018 | 3 | 2018 |
Transparent boundary condition and its effectively local approximation for the Schr\"{o} dinger equation on a rectangular computational domain S Yadav, V Vaibhav arXiv preprint arXiv:2403.07787, 2024 | 2 | 2024 |
Nonreflecting boundary condition for the free Schrödinger equation in 2d S Yadav, V Vaibhav 2023 Photonics & Electromagnetics Research Symposium (PIERS), 328-337, 2023 | 2 | 2023 |
Discrete Darboux transformation for Ablowitz–Ladik systems derived from numerical discretization of Zakharov–Shabat scattering problem V Vaibhav Communications in Nonlinear Science and Numerical Simulation 82, 105056, 2020 | 2 | 2020 |