Solitary waves, breathers, and rogue waves modulated by long waves for a model of a baroclinic shear flow

JJ Su, YT Gao, GF Deng, TT Jia - Physical Review E, 2019 - APS
Investigated in this paper is a quasigeostrophic two-layer model for the wave packets in a
marginally stable or unstable baroclinic shear flow. We find that the wave packets can be …

Matter rogue wave in Bose-Einstein condensates with attractive atomic interaction

L Wen, L Li, ZD Li, SW Song, XF Zhang… - The European Physical …, 2011 - Springer
We investigate the matter rogue wave in Bose-Einstein condensates with attractive
interatomic interaction analytically and numerically. Our results show that the formation of …

Quantum quasicrystals of spin-orbit-coupled dipolar bosons

S Gopalakrishnan, I Martin, EA Demler - Physical review letters, 2013 - APS
We study quasi-two-dimensional dipolar Bose gases in which the bosons experience a
Rashba spin-orbit coupling. We show that the degenerate dispersion minimum due to the …

A generalized nonlocal Gross–Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential

L Li, F Yu, C Duan - Applied Mathematics Letters, 2020 - Elsevier
The Hirota bilinear method is studied in a lot of local equations, but there are few work to
solve nonlocal equations with external potential by Hirota bilinear method. In this letter, we …

Quantized vortices in a rotating Bose-Einstein condensate with spatiotemporally modulated interaction

DS Wang, SW Song, B Xiong, WM Liu - Physical Review A—Atomic, Molecular …, 2011 - APS
We present theoretical analysis and numerical studies of the quantized vortices in a rotating
Bose-Einstein condensate with spatiotemporally modulated interaction in harmonic and …

[HTML][HTML] Baseband modulational instability and dynamics of rogue waves in coherently coupled Bose–Einstein condensates

E Kengne - Physics Letters A, 2023 - Elsevier
We consider coupled dimensionless Gross-Pitaevskii (GP) equations that describes effective
coherently coupled Bose–Einstein condensates (BECs) trapped in external complex …

Multiple rogue wave and solitary solutions for the generalized BK equation via Hirota bilinear and SIVP schemes arising in fluid mechanics

J Manafian, OA Ilhan, A Alizadeh… - … in Theoretical Physics, 2020 - iopscience.iop.org
The multiple lump solutions method is employed for the purpose of obtaining multiple soliton
solutions for the generalized Bogoyavlensky–Konopelchenko (BK) equation. The solutions …

Quasi-two-dimensional Bose–Einstein condensates with spatially modulated cubic–quintic nonlinearities

CQ Dai, DS Wang, LL Wang, JF Zhang, WM Liu - Annals of Physics, 2011 - Elsevier
We investigate exact nonlinear matter wave functions with odd and even parities in the
framework of quasi-two-dimensional Bose–Einstein condensates (BECs) with spatially …

[PDF][PDF] 排斥抛物势中相互作用时空调控的超冷玻色气体孤子的反射, 局域, 穿越与振荡行为操控

何章明, 朱钱泉, 潘湘 - Acta Optica Sinica, 2023 - researching.cn
摘要考虑原子间相互作用随时间变化, 首先基于Darboux 变换法, 得到一维无量纲的非线性
薛定谔方程的孤子解, 发现排斥抛物势中超冷原子之间随时间呈指数增加(减小) …

Binary Bell polynomials, bilinear approach to exact periodic wave solutions of (2+ 1)-dimensional nonlinear evolution equations

YH Wang, Y Chen - Communications in Theoretical Physics, 2011 - iopscience.iop.org
In the present letter, we get the appropriate bilinear forms of (2+ 1)-dimensional KdV
equation, extended (2+ 1)-dimensional shallow water wave equation and (2+ 1) …