Results 41 to 50 of about 173,152 (254)

The Integrability of a New Fractional Soliton Hierarchy and Its Application

Advances in Mathematical Physics, 2022
Two fractional soliton equations are presented generated from the same spectral problem involved in a fractional potential by the zero-curvature representations. They are a kind of special reductions of the famous AKNS system.
Xiao-ming Zhu, Jian-bing Zhang
doaj   +1 more source

Nonlinear superposition between lump soliton and other nonlinear localized waves for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation

Results in Physics, 2023
In the previous studies, the authors have reported the lump soliton collided with other nonlinear localized waves for (2+1)-dimensional Korteweg–de Vries–Sawada-Kotera–Ramani equation.
Longxing Li, Zhengde Dai, Bitao Cheng, Rubing Li   +3 more
doaj   +1 more source

Dynamics of resonant soliton, novel hybrid interaction, complex N-soliton and the abundant wave solutions to the (2+1)-dimensional Boussinesq equation

Alexandria Engineering Journal
The presented work concerns with some novel solutions of the (2+1)-dimensional Boussinesq equation (BE), which acts as an important model for shallow water wave.
Kang-Jia Wang, Feng Shi, Shuai Li, Peng Xu   +3 more
doaj   +1 more source

New dynamical behaviors for a new extension of the Shallow water model

Results in Physics, 2022
The aim of this work, is to construct some novel solutions for a new extension of the shallow water model in (3+1)-dimensions. Based on two methods namely; simplified Hirota’s method and a long-wave method a class of solutions are reported.
Jian-Guo Liu, Hajar F. Ismael, Hasan Bulut   +2 more
doaj   +1 more source

Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch)

, 2010
An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Cao, J., Deng, Xijun, Cao, Jinlong, Parkes, E.J., Deng, X.   +4 more
core   +1 more source

The N-soliton solutions to the M-components nonlinear Schrödinger equations by the Riemann–Hilbert approach

Partial Differential Equations in Applied Mathematics, 2022
In this paper, the main work is to study the N-soliton solutions for the M-component nonlinear Schrödinger equations, the matrix Riemann–Hilbert problem is constructed for this integrable hierarchies by analyzing the block matrix spectral problem of the ...
Jian Li, Tiecheng Xia
doaj   +1 more source

Study of Free‐Space Optical Quantum Network: Review and Prospectives

Advanced Science, EarlyView.
Free from the constraints of fiber connections, free‐space quantum network enables longer and more flexible quantum network connections. This review summarizes and comparatively analyzes free‐space quantum network experiments based on ground stations, satellites, and mobile platforms.
Hua‐Ying Liu, Zhenda Xie, Shining Zhu
wiley   +1 more source

Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation

Scientific Reports, 2023
In this paper, the exact solutions of generalized nonlinear Schrödinger (GNLS) equation are obtained by using Darboux transformation(DT). We derive some expressions of the 1-solitons, 2-solitons and n-soliton solutions of the GNLS equation via ...
Chengcheng Fan, Li Li, Fajun Yu
doaj   +1 more source

N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited

Studies in Applied Mathematics
ABSTRACTIn this article, a general solution formula is derived for the ‐matrix modified Korteweg–de Vries equation. Then, a solution class corresponding to special parameter choices is examined in detail. Roughly, this class can be described as ‐solitons (in the sense of Goncharenko) with common phase matrix.
Carillo S., Lo Schiavo M., Schiebold C.
openaire   +3 more sources

Imaging Electric Polarization Switching in Multilayer Graphene

Advanced Science, EarlyView.
Domain wall sliding‐induced electric polarization switching is directly observed for the first time in multilayer graphene, enabled by a novel optical readout method. The polarization switching is realized upon application of global and local electric fields, and mechanical forces between neighboring polar domains of opposite out‐of‐plane polarizations
Zhou Zhou, Xiyao Peng, Jianfeng Bi, Jing He, Fei Xue, Jie Jiang, Huizhen Wu, Zhiwen Shi, Haoliang Qian, Toshikaze Kariyado, Sihan Zhao   +10 more
wiley   +1 more source