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变量分离     
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  variable separation
     Variable separation solution and new soliton structures in the (2+1)-dimensional nonlinear Burgers equations
     (2+1)维非线性Burgers方程变量分离解和新型孤波结构
短句来源
     Some solitary wave solutions for a class of nonlinear wave equationu tt -a 1u xx +a 2u t+a 3u+a 4u 3=0are obtained by the usual formally variable separation approach and homogeneous balance method,where some new exact analytical solutions of the equation are also given.
     用形式变量分离方法并结合齐次平衡思想得到一类广泛的非线性波动方程utt -a1uxx +a2 ut+a3 u +a4 u3 =0的若干孤波解 ,给出了一些新的精确解析解 .
短句来源
     VARIABLE SEPARATION SOLUTIONS AND SEMIFOLDED LOCALIZED STRUCTURES FOR(2+1)-DIMENSIONAL GENERALIZED BORER-KAUP SYSTEM
     (2+1)维广义Borer-Kaup系统的变量分离解和半包局域结构
短句来源
     Variable separation solution and soliton excitations of the (1+1)-dimensional generalised shallow water wave equation
     (1+1)维广义的浅水波方程的变量分离解和孤子激发模式
短句来源
     A variable separation approach is applied to obtain the new exact explicit solution of (2+1) dimensional nonlinear Burgers equations.
     利用变量分离方法 ,获得了 (2 +1 )维非线性Burgers方程的变量分离解 .
短句来源
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  separation of variables
     Moreover, this criterion can be used to determine whether the class of nonlinear differential equation can be integrated by separation of variables in the complex domain or not.
     另一方面,该准则可以作为判定该类非线性常微分方程在复域上能否变量分离之准则
短句来源
     By separation of variables, the model equation of mass transfer of moving drops can be converted into two-variable Liouville equation.
     对运动液滴的质量传递方程进行变量分离,获得了双变量的刘维尔方程.
短句来源
     By using separation of variables and Navier solution,relations between its natureal characteristics and electric field are presented.
     采用变量分离与Navier解,得到四边简支功能梯度板的固有特性与电场强度间的关系。
短句来源
     The Raman-Nath equation is solved by using separation of variables and Fourier trans-formation. The general solution is given.
     基于变量分离和付里叶积分变换给出了Raman-Nath方程的一般解。
短句来源
     The separation of variables under the coordinate transformation is the basis of the theory in which the assumption about the surface current density distribution of the tape is avoided.
     螺旋带平面展开后,应用坐标变换得到的电磁场分量变量分离形式是去除面电流分布假设的理论基础.
短句来源
更多       
  separating variable
     Subsequently, the proposed anti-aliasing filter and interpolated Mth-band filter are applied to the image size alteration and a new approach to rational image scaling called separating variable method is provided.
     其次,把上述方法设计的抗混叠滤波器和M带插值滤波器用于图像尺度转换,提出了变量分离的有理因子图像尺度转换方法。
短句来源
     Based on theBoltsmen's superposition and Schapery's nonlinear viscoelastic theory, the paper put forward a separating variable viscoelastic constitutive relation. From Kachanov's"continuum" concept, the damage islead to the constitutive equation. The experiment is conducted on close plied glass fiber cloth/epoxycomposite with different loading and unloading speeds and directions.
     基于Boltsman迭加原理和Schapery非线性粘弹性理论,本文提出了一变量分离式粘弹性本构关系,且由Kachanov“连续性”概念,将损伤变量引入本构关系式中,按不同的加载速度和加载方向对正交玻璃布-环氧材料进行了加、卸载实验研究。
短句来源
  variable separation method
     Starting from an extended mapping approach and a linear variable separation method, new families of exact solutions with arbitrary functions for (2+1)-dimensional Generalized Nozhnik-Nivikov-Veselov system(GNNV) are derived.
     利用拓展的Riccati方程映射法与变量分离法,得到了(2+1)维广义Nizhnik-Novikov-Veselov(GNNV)系统新的含有两个任意函数的相当广义的变量分离严格解.
短句来源
     This paper is about some skills of typical questions proving and analyzing four basic methods that how to use Differential Medial Theorem:Direct method,Original Function method,Constant Inactive method and Variable Separation method.
     本文主要分析使用微分中值定理证题的四种基本方法 ,直接法 ,原函数法 ,常数待定法 ,变量分离法以及几种典型命题的证明技巧 .
短句来源
     The first one is to expand the nonlinear systems according to multi_arbitrary functions, the second one is to expand the variable separation ansatz. The third one is the MLVSA based on the Darboux transformation (DT_MLVSA) and the last one is the derivative_dependent functional variable separation method.
     实现GMLVSA主要有四种途径,一是先把场量按照多个任意函数(通常考虑两个函数的情形)展开得到关于多个函数的多线性方程,另一种途径是推广变量分离的假设,第三类是基于Darboux变换的多线性变量分离方法(DT_MLVSA),第四类是导数相关泛函变量分离法.
短句来源

 

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  variable separation
A new technique based on the variable separation method is proposed.
      
The results obtained by the variable separation method and the integro-differential approach are analyzed and compared.
      
The case of integrability of a Kirchhoff vortex and a point vortex by the variable separation method is qualitatively analyzed.
      
New localized structures of a (2+1)-dimensional system obtained by variable separation approach
      
Starting from this linearization form equation, a variable separation solution with the entrance of some arbitrary functions and some arbitrary parameters was constructed.
      
更多          
  separation of variables
Another proof of Joseph and Letzter's separation of variables theorem for quantum groups
      
Originally introduced in the context of separation of variables for certain partial differential equations, PSWFs became an important tool for the analysis of band-limited functions after the famous series of articles by Slepian et al.
      
Our implementation is based on the "Separation of Variables" technique (see, e.g., Maslen and Rockmore, Proceedings of the DIMACS Workshop on Groups and Computation, pp.
      
Further analysis involves a separation of variables and considers a finite size of a central body.
      
The L-matrix is selected in such a manner that in regular coordinates the separation of variables takes place.
      
更多          
  separation of variable
The dual differential equation is solved by a method of separation of variable.
      
Separation of variable numbers of terminal myelin loops from the underlying axolemma results in the formation of bracelets of Nageotte, whereas the transverse bands of these loops disappear.
      
Separation of variable techniques can be applied to elliptic equations, such as Navier's equation of equilibrium for a homogeneous medium, in plane regions provided that each boundary segment defines an eigenvalue problem.
      
More specifically, the region can be triangulated into "convex" elements and separation of variable methods used to generate families of solutions for each element.
      
In this paper the application of separation of variable techniques to "convex" elements is presented.
      
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