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A novel(2+1)-dimensional integrable KdV equation with peculiar solution structures

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Chinese Physics B 2020年第8期29卷 176-181页

作者： Sen-yue lou School of Physical Science and Technology Ningbo UniversityNingbo 315211China

The celebrated(1+1)-dimensional Korteweg de-Vries(KdV)equation and its(2+1)-dimensional extension,the Kadomtsev-Petviashvili(KP)equation,are two of the most important models in physical *** KP hierarchy is explicitly written out by means of the linearized operator of the KP equation.A novel(2+1)-dimensional KdV extension,the cKP3-4 equation,is obtained by combining the third member(KP3,the usual KP equation)and the fourth member(KP4)of the KP *** integrability of the cKP3-4 equation is guaranteed by the existence of the Lax pair and dual Lax *** cKP3-4 system can be bilinearized by using Hirota's bilinear operators after introducing an additional auxiliary *** solutions of the cKP3-4 equation possess some peculiar and interesting properties which are not valid for the KP3 and KP4 *** instance,the soliton molecules and the missing D'Alembert type solutions(the arbitrary travelling waves moving in one direction with a fixed model dependent velocity)including periodic kink molecules,periodic kink-antikink molecules,few-cycle solitons,and envelope solitons exist for the cKP3-4 equation but not for the separated KP3 equation and the KP4 equation.

关键词： (2+1)-dimensional KdV equations Lax and dual Lax pairs soliton and soliton molecules D’Alembert type waves

Some special exact solutions in nonlocal Alice-Bob sine-Gordon systems

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Communications in Theoretical Physics 2023年第2期75卷 39-45页

作者： Zong-Ao Zhang Sen-yue lou School of Mathematics and Statistics Ningbo UniversityNingbo315211China School of Physical Science and Technology Ningbo UniversityNingbo315211China

Three nonlocal Alice-Bob sine-Gordon(ABSG) systems with the parity and time reversal nonlocality and/or space-time exchange nonlocality are investigated. For the common local SG equation, two types of N-soliton solutions and three types of periodic solutions are presented. The multiple solutions, breather solution, double kink solution, and periodic solutions of the ABSG systems are obtained from the symmetry reductions of a coupled local sine-Gordon system.

关键词： sine-Gordon equation parity and time reversal soliton solutions periodic solutions

A stimuli-responsive pillar[5]arene-based hybrid material with enhanced tunable multicolor luminescence and ion-sensing ability

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National Science Review 2021年第6期8卷 60-69页

作者： Xin-yue lou Nan Song Ying-Wei Yang State Key Laboratory of Inorganic Synthesis and Preparative Chemistry International Joint Research Laboratory of Nano-Micro Architecture Chemistry (NMAC)College of ChemistryJilin University

Tunable luminescent materials are becoming more and more important owing to their broad application potential in various fields. Here we construct a pillar[5]arene-based hybrid material with stimuli-responsive luminescent properties and ion-sensing abilities from a pyridine-modified conjugated pillar[5]arene and a planar chromophore oligo(phenylenevinylene) upon coordination of Cd(II) metal cores. This new material not only shows an optimized luminescence due to the minimized π–π stacking and efficient charge transfer properties benefitting from the existence of pillar[5]arene rings, but also exhibits tunable multicolor emission induced by different external stimuli including solvent, ions and acid, indicating great application potential as a fluorescent sensory material, especially for Fe3+. With this pillar[5]arene-based dual-ligand hybrid material, valid optimization and regulation on the fluorescence of the original chromophore have been achieved, which demonstrates a plausible strategy for the design of tunable solid-state luminescent materials and also a prototypical model for the effective regulation of fluorescent properties of planarπ systems using synthetic macrocycle-based building blocks.

关键词： aggregation-induced emission supramolecular chemistry luminescent materials pillararenes macrocycles

Interactions of Lump and Solitons to Generalized(2 + 1)-Dimensional Ito Systems

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Communications in Theoretical Physics 2019年第6期71卷 633-639页

作者： Xuan Du Sen-yue lou Department of Mathematics Ningbo UniversityNingbo315211China School of Physical Science and Technology Ningbo UniversityNingbo315211China Shanghai Key Laboratory of Trustworthy Computing East China Normal UniversityShanghai200062China

The(2 + 1)-dimensional Ito equation is extended to a general form including some nonintegrable effects via introducing generalized bilinear operators. It is pointed out that the nonintegrable(2 + 1)-dimensional Ito equation contains lump solutions and interaction solutions between lump and stripe solitons. The result shows that the lump soliton will be swallowed or arisen by a stripe soliton in a fixed time. Furthermore, by the interaction between a lump and a paired resonant stripe soliton, the lump will be transformed to an instanton or a rogue wave.

关键词： generalized bilinear operators (2 + 1)-dimensional Ito systems lump-soliton interactions instanton and rogue waves

Localized Excitations of a Generalised Jimbo-Miwa Equation

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Communications in Theoretical Physics 2018年第7期69卷 1-6页

作者： Qian Xia Sen-yue lou physics Department and Ningbo Collaborative Innovation Center of Nonlinear Hazard System of Ocean and Atmosphere Ningbo UniversityNingbo 315211China Shanghai Key Laboratory of Trustworthy Computing East China Normal University

Jimbo-Miwa(JM) equation is one of the famous(3+1)-dimensional conditionally integrable nonlinear dynamical systems. It is pointed out that JM equation and its generalized form possess some types of interesting nonlinear excitations such as the algebraic lump-type line solitons, the lumpoff-type half line solitons, and segment solitons.

关键词： generalized bilinear operators generalized Jimbo-Miwa equation lump-type line solitons lumpoff-type half line solitons segment solitons

Studying bi-partite entangled state representations via the integration over ket-bra operators in -ordering or -ordering

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Frontiers of physics 2014年第4期9卷 460-464页

作者： Hong-Yi Fan Sen-yue lou Department of Physics Ningbo University Ningbo 315211 China

For two particles＇ relative position and total momentum we have introduced the entangled state representation ｜μ〉, and its conjugate state｜ξ〉 In this work, for the first time; we study theln via the integration over ket bra operators in -ordering or -ordering, where Q-ordering means all Qs are to the left, of all Ps and -ordering means all Ps are to the left of all Qs. In this way we newly derive -ordered （or Q-ordered） expansion formulas of the two-mode squeezing operator which can show the squeezing effect on both the two-mode coordinate and momentum eigenstates. This tells that not only the integration over ket bra operators within normally ordered, but also within - ordered （or -ordered） are feasible and useful in developing quantum mechanical representation and transtbrlnation theory.

关键词： Keywords integration over ket -bra operators -ordering -ordering entangled staterepresentation

A Super mKdV Equation： Bosonization, Painlevé Property and Exact Solutions

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Communications in Theoretical Physics 2018年第4期69卷 343-346页

作者： Bo Ren Sen-yue lou Institute of Nonlinear Science Shaoxing University Shaoxing 312000 China Center for Nonlinear Science and Department of Physics Ningbo University Ningbo 315211 China Shanghai Key Laboratory of Trustworthy Computing East China Normal University Shanghai 200062 China

The symmetry of the fermionic field is obtained by means of the Lax pair of the mKdV equation. A new super mKdV equation is constructed by virtue of the symmetry of the fermionic form. The super mKdV system is changed to a system of coupled bosonic equations with the bosonization approach. The bosonized SmKdV(BSmKdV)equation admits Painlevé property by the standard singularity analysis. The traveling wave solutions of the BSmKdV system are presented by the mapping and deformation method. We also provide other ideas to construct new super integrable systems.

关键词： super mKdV equation bosonization approach Painleve exact solutions

Invariant Functions, Symmetries and Primary Branch Solutions of First Order Autonomous Systems

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Communications in Theoretical Physics 2017年第7期67卷 21-28页

作者： Sen-yue lou Ruo-Xia Yao Shanghai Key Laboratory of Trustworthy Computing East China Normal University Shanghai 200062 China Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere and Faculty of Science Ningbo University Ningbo 315211 China School of Computer Science Shaanxi Normal University Xi＇an 710062 China

An invariant function （IF） is defined as a multiplier of a symmetry that means a symmetry multiplied by an IF is still a symmetry. Primary branch solutions of arbitrary first order scalar systems can be obtained by means of the IF and its related symmetry approach. Especially, one recursion operator and some sets of infinitely many high order symmetries are also explicitly given for arbitrary （l q-1）-dimensional first order autonomous systems. Because of the intrusion of the arbitrary function, various implicit special exact solutions can be found by fixing the arbitrary functions and selecting different seed solutions.

关键词： invariant functions symmetries exact solutions invariant operators recursion Operators

Alice-Bob Peakon Systems

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Chinese Physics Letters 2017年第6期34卷 1-4页

作者： Sen-yue lou Zhi-Jun Qiao Center for Nonlinear Science and Department of Physics Ningbo University Ningbo 315211 Shanghai Key Laboratory of Trustworthy Computing East China Normal University Shanghai 200062 School of Mathematical and Statistical Science University of Texas TX 78539 USA

We study the Alice-Bob peakon system generated from an integrable peakon system using the strategy of the so- called Alice-Bob non-local KdV approach [Scientific Reports 7 （2017） 869]. Nonlocal integrable peakon equ... 详细信息

关键词： ABP Alice-Bob Peakon Systems

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