Riemann–Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions
JJ Yang, SF Tian, ZQ Li - Physica D: Nonlinear Phenomena, 2022 - Elsevier
Abstract The Riemann–Hilbert (RH) problem is developed to study the focusing nonlinear
Schrödinger (NLS) equation with multiple high-order poles under nonzero boundary …
Schrödinger (NLS) equation with multiple high-order poles under nonzero boundary …
Utilization of the ExactMPF package for solving a discrete analogue of the nonlinear Schrödinger equation by the inverse scattering transform method
VM Adukov, G Mishuris - Proceedings of the Royal …, 2023 - royalsocietypublishing.org
We are revisiting the problem of solving a discrete nonlinear Schrödinger equation by the
inverse scattering transform method, by use of the recently developed ExactMPF package …
inverse scattering transform method, by use of the recently developed ExactMPF package …
Inverse scattering transformation for the N-component focusing nonlinear Schrödinger equation with nonzero boundary conditions
H Liu, J Shen, X Geng - Letters in Mathematical Physics, 2023 - Springer
As mentioned in Biondini et al.(Commun Math Phys 348: 475–533, 2016), the complete
theory of the inverse scattering transform for the multi-component focusing nonlinear …
theory of the inverse scattering transform for the multi-component focusing nonlinear …
The defocusing nonlinear Schr\" odinger equation with step-like oscillatory initial data
S Fromm, J Lenells, R Quirchmayr - arXiv preprint arXiv:2104.03714, 2021 - arxiv.org
We study the Cauchy problem for the defocusing nonlinear Schr\" odinger (NLS) equation
under the assumption that the solution vanishes as $ x\to+\infty $ and approaches an …
under the assumption that the solution vanishes as $ x\to+\infty $ and approaches an …
Soliton and rogue wave solutions of the space–time fractional nonlinear Schrödinger equation with PT-symmetric and time-dependent potentials
K Manikandan, D Aravinthan, JB Sudharsan… - Optik, 2022 - Elsevier
We derive fractional soliton and rogue wave solutions of the space–time fractional nonlinear
Schrödinger (FNLS) equation in the existence of complex parity reflection–time reversal …
Schrödinger (FNLS) equation in the existence of complex parity reflection–time reversal …
Riemann–Hilbert problem and soliton solutions with their asymptotic analysis for the focusing nonlocal Hirota equation with step-like initial data
L Lei, SF Tian, XF Zhang - Physica D: Nonlinear Phenomena, 2024 - Elsevier
Abstract The Riemann–Hilbert (RH) problem is developed to study the Cauchy problem of
focusing space symmetric nonlocal Hirota (fsNH) equation with step-like initial data. Firstly …
focusing space symmetric nonlocal Hirota (fsNH) equation with step-like initial data. Firstly …
Dbar dressing method to nonlinear Schr\"{o} dinger equation with nonzero boundary conditions
J Zhu, X Jiang, X Wang - arXiv preprint arXiv:2011.09028, 2020 - arxiv.org
The Dbar dressing method is extended to study the focusing/defocusing nonlinear Schr\"
odinger (NLS) equation with nonzero boundary condition. A special type of complex function …
odinger (NLS) equation with nonzero boundary condition. A special type of complex function …
Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach
J Zhu, X Jiang, X Wang - Analysis and Mathematical Physics, 2023 - Springer
The Dbar dressing method is extended to study the focusing/defocusing nonlinear
Schrödinger (NLS) equation with nonzero boundary condition. A special type of complex …
Schrödinger (NLS) equation with nonzero boundary condition. A special type of complex …
N-fold binary Darboux transformation for the nth-order Ablowitz–Kaup–Newell–Segur system under a pseudo-symmetry hypothesis
JJ Su, B Ruan - Applied Mathematics Letters, 2022 - Elsevier
In this paper, we introduce a pseudo-symmetry hypothesis, under which the N-fold binary
Darboux transformation for the n th-order (n=− 1, 0, 1,…) Ablowitz–Kaup–Newell–Segur …
Darboux transformation for the n th-order (n=− 1, 0, 1,…) Ablowitz–Kaup–Newell–Segur …
Complete symmetry reductions, conservation laws and exact solutions for a (2+ 1)-dimensional nonlinear Schrödinger equation
H Zhi - Optik, 2021 - Elsevier
This paper deal with a (2+ 1)-dimensional nonlinear Schrödinger (NLS) equation by the
symmetry analysis, the multiplier approach and Ibragimov's conservation law method. Based …
symmetry analysis, the multiplier approach and Ibragimov's conservation law method. Based …