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The morphological relaxation of axisymmetric crystal surfaces with a single facet below the roughening transition temperature is studied analytically for diffusion-limited sDLd and attachment-detachme...
The self-similarity properties of fractals are studied in the framework of the theory of entire analytical functions and the $q$-deformed algebra of coherent states. Self-similar structures are relate...
The choice of generator in the Similarity Renormalization Group (SRG) flow equation determines the evolution pattern of the Hamiltonian.
Abstract: The fluctuations in the elastic light scattering spectra of normal and dysplastic human cervical tissues analyzed through wavelet transform based techniques reveal clear signatures of self-s...
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...
Preferential attachment is a powerful mechanism explaining the emergence of scaling in growing networks. If new connections are established preferentially to more popular nodes in a network,then the n...
In recent years, the Similarity Renormalization Group has provided a powerful and versatile means to soften interactions for ab initio nuclear calculations. The substantial contribution of both induc...
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...
2001Vol.36No.4pp.385-390DOI: New Similarity Reductions and Compacton Solutions for Boussinesq-Like Equations with Fully Nonlinear Dispersion YAN Zhen-Ya Department of Ap...
2007Vol.48No.2pp.199-204DOI: Special Conditional Similarity Reduction Solutions for Two Nonlinear Partial Differential Equations MA Zheng-Yi Department of Mathematics, Z...
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...
2001Vol.35No.6pp.647-650DOI: Similarity Reduction and Integrability for the Nonlinear Wave Equations from EPM Model YAN Zhen-Ya Department of Applied Mathematics, ...
2001Vol.35No.5pp.523-526DOI: Bäcklund Transformation and Similarity Reductions of Nonlinear Partial Differential Equations Using Extended Homogeneous Balance Method FAN En-...
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...
2007Vol.47No.1pp.155-160DOI: Multiple Soliton-Like Solutions and Similarity Reductions of a Spherical Kadomtsev-Petviashvili Equation from Plasma Physics LI Ye-Zhou,1,2 LIU Jian-G...

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