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Communications in Theoretical Physics 2008年第2期49卷 291-296页

作者： liu cheng-shi Department of Mathematics Daqing Petroleum Institute Daqing 163318 China

Under the travelling wave transformation, some nonlinear partial differential equations such as Camassa-Holm equation, High-order KdV equation, etc., are reduced to an integrable ODE expressed by u＂＋p（u）（u＇）^2 ＋ q（u） = 0 whose generai solution can be given. Furthermore, combining complete discrimination system for polynomiai, the classifications of all single travelling wave solutions to these equations are obtained. The equation u＂＋p（u）（u＇）^2＋q（u） = 0 includes the equation （u＇）^2 = f（u） as a special case, so the proposed method can be also applied to a large number of nonlinear equations. These complete results cannot be obtained by any indirect method.

关键词： classification of travelling wave solution symmetry group nonlinear partial differential equation

Representations and Classification of Traveling Wave Solutions to sinh-Grdon Equation

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Communications in Theoretical Physics 2008年第1期49卷 153-158页

作者： liu cheng-shi Department of Mathematics Daqing Petroleum Institute Daqing 163318 China

Two concepts named atom solution and combinatory solution are defined. The classification of all single traveling wave atom solutions to sinh-Gordon equation is obtained, and qualitative properties of solutions are discussed. In particular, we point out that some qualitative properties derived intuitively from dynamic system method are not true. Finally, we prove that our solutions to sinh-Gordon equation include all solutions obtained in the paper [Z.T. Fu, et al., Commun. Theor. Phys. （Beijing, China） 45 （2006） 55]. Through an example, we show how to give some new identities on Jacobian elliptic functions.

关键词： traveling wave solution atom solution exact solution sinh-GSrdon equation elliptic function

Trial Equation Method to Nonlinear Evolution Equations with Rank Inhomogeneous： Mathematical Discussions and Its Applications

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Communications in Theoretical Physics 2006年第2期45卷 219-223页

作者： liu cheng-shi Department of Mathematics Daqing Petroleum Institute Daqing 163318 China

A trial equation method to nonlinear evolution equation with rank inhomogeneous is given. As appncations, the exact traveling wave solutions to some higher-order nonlinear equations such as generalized Boussinesq equation, generalized Pochhammer-Chree equation, KdV-Burgers equation, and KS equation and so on, are obtained. Among these, some results are new. The proposed method is based on the idea of reduction of the order of ODE. Some mathematical details of the proposed method are discussed.

关键词： trial equation method solvable equation nonlinear evolution equation exact solution

New Exact Envelope Traveling Wave Solutions of High-Order Dispersive Cubic-Quintic Nonlinear SchrSdinger Equation

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Communications in Theoretical Physics 2005年第5X期44卷 799-801页

作者： liu cheng-shi Department of Mathematics Daqing Petroleum Institute Daqing 163318 China

Using trial equation method, abundant exact envelope traveling wave solutions of high-order dispersive cubic-quintic nonlinear Schr6dinger equation, which include envelope soliton solutions, triangular function envelope solutions, and Jacobian elliptic function envelope solutions, are obtained. To our knowledge, all of these results are new. In particular, our proposed method is very simple and can be applied to a lot of similar equations.

关键词： trial equation method exact solution nonlinear Schrodinger equation

A New Trial Equation Method and Its Applications

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Communications in Theoretical Physics 2006年第3期45卷 395-397页

作者： liu cheng-shi Department of Mathematics Daqing Petroleum Institute Daqing 163318 China

As an improved version of trial equation method, a new trial equation method is proposed. Using this method, abundant new exact traveling wave solutions to a high-order KdV-type equation are obtained.

关键词： trial equation method traveling wave solution high-order KdV equation

Classification of All Single Travelling Wave Solutions to Calogero-Degasperis-Focas Equation

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Communications in Theoretical Physics 2007年第4X期48卷 601-604页

作者： liu cheng-shi Department of Mathematics Daqing Petroleum Institute Daqing 163318 China

Under the travelling wave transformation, Calogero-Degasperis-Focas equation is reduced to an ordinary differential equation. Using a symmetry group of one parameter, this ODE is reduced to a second-order linear inhomogeneous ODE. Furthermore, we apply the change of the variable and complete discrimination system for polynomial to solve the corresponding integrals and obtained the classification of all single travelling wave solutions to Calogero- Degasperis-Focas equation.

关键词： classification of travelling wave solution symmetry group Calogero-Degasperis-Focas equation

All Single Traveling Wave Solutions to （3＋1）-Dimensional Nizhnok-Novikov-Veselov Equation

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Communications in Theoretical Physics 2006年第6期45卷 991-992页

作者： liu cheng-shi Department of Mathematics Daqing Petroleum Institute Daqing 163318 China

Using elementary integral method, a complete classification of all possible exact traveling wave solutions to （3＋1）-dimensional Nizhnok-Novikov-Veselov equation is given. Some solutions are new.

关键词： (3+1)-dimensional Nizhnok-Novikov-Veselov equation traveling wave solution elementary integral method

New Exact Traveling Wave Solutions for Compound KdV-Type Equation with Nonlinear Terms of Any Order

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Communications in Theoretical Physics 2006年第5X期46卷 787-792页

作者： DU Xing-Hua liu cheng-shi Department of Mathematics Daqing Petroleum Institute Daqing 163318 China

The compound KdV-type equation with nonlinear terms of any order is reduced to the integral form. Using the complete discrimination system for polynomial, its all possible exact traveling wave solutions are obtained. ... 详细信息

关键词： compound KdV-type equation complete discrimination system for polynomial traveling wavesolution evolution equation

Distribution of organochlorine pesticides (OCPs) and polychlorinated biphenyls (PCBs) in surface water and sediments from Baiyangdian Lake in North China

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Journal of Environmental Sciences 2011年第10期23卷 1640-1649页

作者： Guohua Dai Xinhui liu Gang Liang Xu Han liu shi Dengmiao cheng Wenwen Gong State Key Laboratory of Water Environment Simulation School of Environment Beifing Normal University Beifing 100875 China

Persistent organochlorine compounds, including hexachlorocyclohexanes （HCHs）, dichlorodiphenyltrichloroethanes （DDTs） and polychlorinated biphenyls （PCBs） were analyzed in surface water and sediments from Balyangdian Lake, North China. Total concentrations of HCHs, DDTs and PCBs in surface water were in the range of 3.13-10.60, 4.05-20.59 and 19.46-131.62 ng/L, respectively, and total concentrations of HCHs, DDTs and PCBs in sediments were 1.75-5.70, 0.91-6.48 and 5.96-29.61 ng/g dry weight, respectively. Among the groups of HCHs （sum of α-HCH, β-HCH, y-HCH and 6-HCH） and DDTs （sum of DDT, DDD and DDE）, the predominance of β-HCH, DDE and DDD in water and sediment samples was clearly observed. This observation suggested that β-HCH was resistant to biodegradation and the DDTs had been transformed to its metabolites, DDE and DDD. For PCBs, penta-, hexa- and hepta-chlorinated congeners were the most abundant compounds in the both phases. Furthermore, the partitioning of chlorinated compounds between sediment and water was investigated to understand their transport and fates in aquatic ecosystems. The results indicated that average logs of organic carbon-normalized sediment-water partition coefficients （logK∝） for OCPs varied between 3.20 and 5.53, and for PCBs, logK∝ values ranged from 3.19 to 5.57. The observed logK∝ was lower than their equilibrium logK∝ predicted from linear model, which may be attributed to the solubility enhancement effect of colloidal matter in water phase and the disequilibrium between sediment and water.

关键词： oranochlorine pesticides polychlorinated biphenyls water sediment Baiyangdian Lake North China

Insights into the long-term stability of landslide dams on the eastern margin of the Tibetan Plateau, China——A case study of the Diexi area

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Journal of Mountain Science 2023年第6期20卷 1674-1694页

作者： SONG Liang WANG Yun-sheng HU Dong-yu WU Hao-chen TANG Tao liu shi-cheng State Key Laboratory of Geohazard Prevention and Geoenvironment Protection Chengdu University of TechnologyChengdu 610059China

Landslide dams,especially long-term stable landslide dams,have been recognized as important contributors to regional geomorphological ***,the Diexi area,a long-term stable dam-prone area located in upstream of the Minjiang River on the eastern Tibetan Plateau,was adopted to reveal reasons that landslide dams are concentrated in this area and maintain long-term stability via detailed field investigations,landslide dam sampling,unmanned aerial vehicle(UAV)images,and digital surface models(DSM).The results show the controlling factors that the slopes are prone to sliding and rock mass structure deterioration including lithological combination mode,slope structure,topographic conditions,a series of NNE-trending radial fissures and hydrological *** activities,which have caused many earthquakes,are the main inducing *** dams are prone to occurrence in the Diexi area owing to the combined effect of the narrow channels,the large landslide dam volume and the rock *** river flow,and the landslide dam volume,material,structure,and parameters control the stability of landslide *** landslide dam consists of various sizes of boulders and all landslide dams exhibit an obvious inverse grading sequence,and this size combination could consume most of the flow energy,and consequently protect the dam from ***,a total of seven knickpoints were formed by landslide dams,and the longitudinal gradient upstream of every landslide dam was found to decrease by the action of *** the eastern margin of the Tibetan Plateau,there are numerous landslide dams existed for hundreds or thousands of *** on the long-term stable landslide dams in the Diexi area could provide experience for studying similar kinds of landslide dams in this region.

关键词： Stable landslide dams Diexi area Arcuate tectonic belt Earthquake