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High Power Laser Science and Engineering 2020年第2期8卷 71-76页

作者： J.Qian G.D.Wang k.y.lou D.y.Shen Q.Fu Q.Z.Zhao State key Laboratory of High Field Laser Physics Shanghai Institute of Optics and Fine MechanicsChinese Academy of SciencesShanghai 201800China Center of Materials Science and Optoelectronics Engineering University of Chinese Academy of SciencesBeijing 100049China

White-light continuum can be induced by the interaction of intense femtosecond laser pulses with condensed *** using two orthogonal polarizers,a self-induced birefringence of continuum is observed when focusing femtosecond laser pulses into bulk fused *** is,the generated white-light continuum is synchronously modulated anisotropically while propagating in fused ***-resolved detection confirms that self-induced birefringence of continuum shows a growth and saturation feature with time *** adjusting laser energy,the transmitted intensity of continuum modulated by self-induced birefringence also varies *** analysis with time evolution indicates that it is the focused femtosecond laser pulses that induce anisotropic microstructures in bulk fused silica,and the anisotropic structures at the same time modulate the generated continuum.

关键词： femtosecond laser pulses fused silica self-induced birefringence white-light continuum

Ren-integrable and ren-symmetric integrable systems

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Communications in Theoretical Physics 2024年第3期76卷 62-69页

作者： S y lou School of Physical Science and Technology Ningbo UniversityNingbo315211China

A new type of symmetry,ren-symmetry,describing anyon physics and corresponding topological physics,is ***-symmetry is a generalization of super-symmetry which is widely applied in super-symmetric physics such as super-symmetric quantum mechanics,super-symmetric gravity,super-symmetric string theory,super-symmetric integrable systems and so *** and Grassmann numbers are,in some sense,dual conceptions,and it turns out that these conceptions coincide for the ren situation,that is,a similar conception of ren-number(R-number)is devised for *** particular,some basic results of the R-number and ren-symmetry are exposed which allow one to derive,in principle,some new types of integrable systems including ren-integrable models and ren-symmetric integrable *** examples of ren-integrable kdV-type systems and ren-symmetric kdV equations are explicitly given.

关键词： symmetries integrable systems anyon physics extended supersymmetry ren-symmetry

Multi-place physics and multi-place nonlocal systems

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Communications in Theoretical Physics 2020年第5期72卷 120-132页

作者： S y lou School of Physical Science and Technology Ningbo UniversityNingbo315211China

Multi-place nonlocal systems have attracted attention from many *** this paper,we mainly review the recent progresses on two-place nonlocal systems(Alice-Bob systems)and four-place nonlocal ***-place systems can firstly be derived from many physical problems by using a multiple scaling method with a discrete symmetry group including parity,time reversal,charge conjugates,rotations,field reversal and exchange *** nonlocal systems can also be derived from the symmetry reductions of coupled nonlinear systems via discrete symmetry *** the other hand,to solve multi-place nonlocal systems,one can use the symmetry-antisymmetry separation approach related to a suitable discrete symmetry group,such that the separated systems are coupled local *** using the separation method,all the known powerful methods used in local systems can be applied to nonlocal *** this review article,we take two-place and four-place nonlocal nonlinear Schr?dinger(NLS)systems and kadomtsev-Petviashvili(kP)equations as simple examples to explain how to derive and solve *** types of novel physical and mathematical points related to the nonlocal systems are especially emphasized.

关键词： multi-place physics multi-place nonlocal systems symmetries integrable systems parity and time reversal soliton theory classical prohibitions

Nonlinear excitations and“peakons”of a(2+1)-dimensional generalized Broer-kaup system

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Acta Mechanica Sinica 2007年第2期23卷 209-214页

作者： X. y. Tang k. W. Chow S. y. lou Department of Physics Shanghai Jiao Tong UniversityShanghai 200030 China Department of Mechanical Engineering University of Hong KongHong Kong China Department of Physics Ningbo UniversityNingbo 315211 China

Shallow water waves and a host of long wave phenomena are commonly investigated by various models of nonlinear evolution equations. Examples include the korteweg-de Vries, the Camassa-Holm, and the Whitham-Broer-kaup （WBk） equations. Here a generalized WBk system is studied via the multi-linear variable separation approach. A special class of wave profiles with discontinuous derivatives （＂peakons＂） is developed. Peakons of various features, e.g. periodic, pulsating or fractal, are investigated and interactions of such entities are studied.

关键词： Shallow water wave .Excitation Broer-kaup system .Peakon

Higher-dimensional integrable deformations of the modified kdV equation

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Communications in Theoretical Physics 2023年第7期75卷 15-21页

作者： Xiazhi Hao S y lou College of Science Zhejiang University of TechnologyHangzhouChina School of Physical Science and Technology Ningbo UniversityNingbo315211China

The derivation of nonlinear integrable evolution partial differential equations in higher dimensions has always been the holy grail in the field of *** well-known modified kd V equation is a prototypical example of an integrable evolution equation in one spatial *** there exist integrable analogs of the modified kd V equation in higher spatial dimensions?In what follows,we present a positive answer to this *** particular,rewriting the(1+1)-dimensional integrable modified kd V equation in conservation forms and adding deformation mappings during the process allows one to construct higher-dimensional integrable ***,we illustrate this idea with examples from the modified kd V hierarchy and also present the Lax pairs of these higher-dimensional integrable evolution equations.

关键词： higher-dimensional integrable equation conservation form deformation mapping Lax integrability symmetry integrability

Decomposition solutions and Bäcklund transformations of the B-type and C-type kadomtsev-Petviashvili equations

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Communications in Theoretical Physics 2024年第6期76卷 34-44页

作者： Xiazhi Hao S y lou College of Science Zhejiang University of TechnologyHangzhou 310014China School of Physical Science and Technology Ningbo UniversityNingbo 315211China

This paper introduces a modified formal variable separation approach,showcasing a systematic and notably straightforward methodology for analyzing the B-type kadomtsev-Petviashvili(BkP)*** the application of this approach,we successfully ascertain decomposition solutions,Bäcklund transformations,the Lax pair,and the linear superposition solution associated with the aforementioned ***,we expand the utilization of this technique to the C-type kadomtsev-Petviashvili(CkP)equation,leading to the derivation of decomposition solutions,Bäcklund transformations,and the Lax pair specific to this *** results obtained not only underscore the efficacy of the proposed approach,but also highlight its potential in offering a profound comprehension of integrable behaviors in nonlinear ***,this approach demonstrates an efficient framework for establishing interrelations between diverse systems.

关键词： decomposition solution Backlund transformation Lax pair linear superposition solution

Searching For(2+1)-dimensional nonlinear Boussinesq equation from(1+1)-dimensional nonlinear Boussinesq equation

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Communications in Theoretical Physics 2023年第7期75卷 58-61页

作者： Man Jia S y lou School of Physical Science and Technology Ningbo UniversityNingbo315211China

A novel(2+1)-dimensional nonlinear Boussinesq equation is derived from a(1+1)-dimensional Boussinesq equation in nonlinear Schr?dinger type based on a deformation *** integrability of the obtained(2+1)-dimensional Boussinesq equation is guaranteed by its Lax pair obtained directly from the Lax pair of the(1+1)-dimensional Boussinesq *** of the effects of the deformation,the(2+1)-dimensional Boussinesq equation admits a special travelling wave solution with a shape that can be deformed to be asymmetric and/or multivalued.

关键词： (2+1)-dimensional Boussinesq equation deformation algorithm lax integrable an implicit travelling wave solution

Symmetries and symmetry reductions of the combined kP3 and kP4 equation

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Communications in Theoretical Physics 2023年第1期75卷 15-20页

作者： Fa-ren Wang S y lou School of Physical Science and Technology Ningbo UniversityNingbo315211China

To find symmetries,symmetry groups and group invariant solutions are fundamental and significant in nonlinear *** this paper,the finite point symmetry group of the combined kP3 and kP4(CkP34)equation is found by means of a direct *** related point symmetries can be obtained simply by taking the infinitesimal form of the finite point symmetry *** point symmetries of the CkP34 equation constitute an infinite dimensional kacMoody-Virasoro *** point symmetry invariant solutions of the CkP34 equation are obtained via the standard classical Lie point symmetry method.

关键词： symmetry reduction integrable system Lie algebra

Multiple Soliton Solutions of Alice–Bob Boussinesq Equations

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Chinese Physics Letters 2019年第5期36卷 22-26页

作者： Hui Li S.y.lou School of Physical Science and Technology Ningbo UniversityNingbo 315211 Shanghai key Laboratory of Trustworthy Computing East China Normal UniversityShanghai 200062

Three Alice-Bob Boussinesq(ABB) nonlocal systems with shifted parity■, delayed time reversal■ and ■ nonlocalities are investigated. The multi-soliton solutions of these models are systematically found from the ■ symmetry reductions of a coupled local Boussinesq system. The result shows that for ABB equations with ■ nonlocality, an odd number of solitons is prohibited. The solitons of the ■ nonlocal ABB and ■ nonlocal ABB equations must be paired, while any number of solitons is allowed for the ■ nonlocal ABB system. t-breathers, x-breathers and rogue waves exist for all three types of nonlocal ABB *** particular, different from classical local cases, the first-order rogue wave can have not only four leaves but also five and six leaves.

关键词： ABB Bob Boussinesq Equations Multiple Soliton Solutions of Alice

Doubly periodic patterns of modulated hydrodynamic waves:exact solutions of the Davey-Stewartson system

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Acta Mechanica Sinica 2011年第5期27卷 620-626页

作者： J.-H. Li S.-y. lou k.-W. Chow Department of Mechanical Engineering University of Hong Kong Pokfulam Road Hong Kong China Department of Physics Shanghai Jiao Tong University200030 Shanghai China

Exact doubly periodic standing wave patterns of the Davey-Stewartson （DS） equations are derived in terms of rational expressions of elliptic *** fluid mechanics,DS equations govern the evolution of weakly nonlinear,free surface wave packets when long wavelength modulations in two mutually perpendicular,horizontal directions are *** functions with two different moduli （periods） are necessary in the two *** relation between the moduli and the wave numbers constitutes the dispersion relation of such *** the long wave limit,localized pulses are recovered.

关键词： Free surface waves · Periodic patterns · DaveyStewartson equations