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An Analytical Solution for Advance of Solute Front in Soils 被引量:5
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作者 liuchun-ping SHAOMing-An +2 位作者 LUDian-Qing XIAWei-Sheng CAISong-Bai 《Pedosphere》 SCIE CAS CSCD 2004年第3期339-346,共8页
Based on the assumption that solute transport in a semi-infinite soil columnor in a field soil profile can be described by the boundary-layer method, an analytical solution ispresented for the advance of a solute fron... Based on the assumption that solute transport in a semi-infinite soil columnor in a field soil profile can be described by the boundary-layer method, an analytical solution ispresented for the advance of a solute front with time. The traditional convection-dispersionequation (CDE) subjected to two boundary conditions: 1) at the soil surface (or inlet boundary) and2) at the solute front, was solved using a Laplace transformation. A comparison of residentconcentrations using a boundary-layer method and an exact solution (in a semi-infinite-domain)showed that both were in good agreement within the range between the two boundaries. This led to anew method for estimating solute transport parameters in soils, requiring only observation ofadvance of the solute front with time. This may be corroborated visually using a tracer solutionwith marking-dye or measured utilizing time domain reflectometry (TDR). This method is applicable toboth laboratory soil columns and field soils. Thus, it could be a step forward for modeling solutetransport in field soils and for better understanding of the transport processes in soils. 展开更多
关键词 analytical solution parameter estimation solute front solute transport
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A Direct Algebraic Method in Finding Particular Solutions to Some Nonlinear Evolution Equations 被引量:1
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作者 liuchun-ping CHENJian-Kang CAIFan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第1X期74-78,共5页
Firstly, a direct algebraic method and a routine way in finding traveling wave solutions to nonlinear evolution equations are explained. And then some new exact solutions for some evolution equations are obtained by u... Firstly, a direct algebraic method and a routine way in finding traveling wave solutions to nonlinear evolution equations are explained. And then some new exact solutions for some evolution equations are obtained by using the method. 展开更多
关键词 代数理论 非线性展开方程 精确解 行波解 伯格斯方程
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Relationship Between Soliton-like Solutions and Soliton Solutions to a Class of Nonlinear Partial Differential Equations 被引量:1
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作者 liuchun-ping LINGZhi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第6期969-974,共6页
By using the generally projective Riccati equation method, a series of doubly periodic solutions (Jacobi elliptic function solution) for a class of nonlinear partial differential equations are obtained in a unified wa... By using the generally projective Riccati equation method, a series of doubly periodic solutions (Jacobi elliptic function solution) for a class of nonlinear partial differential equations are obtained in a unified way. When the module m → 1, these solutions exactly degenerate to the soliton solutions of the equations. Then we reveal the relationship between the soliton-like solutions obtained by other authors and these soliton solutions of the equations. 展开更多
关键词 nonlinear partial differential equation doubly periodic solution soliton solution
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New Doubly Periodic Solutions for the Coupled Nonlinear Klein-Gordon Equations
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作者 liuchun-ping 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第1期13-16,共4页
By using the general solutions of a new coupled Riccati equations, a direct algebraic method is described to construct doubly periodic solutions (Jacobi elliptic function solution) for the coupled nonlinear Klein-Gord... By using the general solutions of a new coupled Riccati equations, a direct algebraic method is described to construct doubly periodic solutions (Jacobi elliptic function solution) for the coupled nonlinear Klein-Gordon equations.It is shown that more doubly periodic solutions and the corresponding solitary wave solutions and trigonometric function solutions can be obtained in a unified way by this method. 展开更多
关键词 nonlinear klein-gordon equation coupled riccati equations doubly periodicsolution algebraic method
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