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Similarity solutions of Fokker-Planck equation with time-dependent coefficients
Fokker-Planck equation time-dependent drift and diffusion similarity method
2011/7/26
Abstract: In this work, we consider the solvability of the Fokker-Planck equation with both time-dependent drift and diffusion coefficients by means of the similarity method. By the introduction of th...
Eigenfunctions and Very Singular Similarity Solutions of Odd-Order Nonlinear Dispersion PDEs
Eigenfunctions Very Singular Similarity Solutions Odd-Order Nonlinear Dispersion PDEs
2010/11/11
Asymptotic properties of solutions of odd-order nonlinear dispersion equations are studied. The global in time similarity solutions, which lead to eigenfunctions of the rescaled ODEs, are constructed....
Exponential Class of Similarity Solutions for the Hydromagnetic Falkner-Skan Equations
Exponential Class the Hydromagnetic Falkner-Skan Equations
2010/11/12
A systematic search for the Lie point symmetries admitted by the steady hydromagnetic two-dimensional incompressible viscous flow boundary layer equation and associated boundary conditions is perform...
Conditional Similarity Solutions of the Boussinesq Equation
conditional similarity reduction
direct method Boussinesq equation
2007/8/15
2001Vol.35No.4pp.399-404DOI:
Conditional Similarity Solutions of the Boussinesq Equation
TANG Xiao-Yan,1 LIN Ji1,2 and LOU Sen-Yue1,3
1 Department of Applied Physics, S...
Symmetry and Similarity Solutions of a (2+1)-Dimensional
Generalized Broer-Kaup System
(2+1)-dimensional GBK system classical Lie group
approach symmetry similarity solution
2007/8/15
2007Vol.47No.6pp.1058-1062DOI:
Symmetry and Similarity Solutions of a (2+1)-Dimensional
Generalized Broer-Kaup System
LI Jun-Min,1 DING Wei,2 and TANG Xiao-Yan1
1 Depart...
Conditional Similarity Solutions of (2+1)-Dimensional
General Nonintegrable KdV Equation
similarity solutions modified direct method (2+1)-dimensional general
KdV equation
2007/8/15
2002Vol.37No.2pp.139-144DOI:
Conditional Similarity Solutions of (2+1)-Dimensional
General Nonintegrable KdV Equation
TANG Xiao-Yan1 and LOU Sen-Yue1,2
1 Department of P...
Similarity Solutions and Collapse in the Attractive Gross-Pitaevskii Equation
Similarity Solutions and Collapse Attractive Gross-Pitaevskii Equation
2010/11/2
We analyse a generalised Gross-Pitaevskii equation involving a paraboloidal trap potential in $D$ space dimensions and generalised to a nonlinearity of order $2n+1$. For {\em attractive} coupling con...