For staggered entry, the Cox frailty model, and in Markov renewal process/semi-Markov models (see e.g. Andersen et al., 1993, Chapters IX and X, for references on this work),
In recent years, several methods have been developed to obtain traveling wave solutions for many NLEEs, such as the theta function method 1, the Jacobi elliptic function
7, Fan subequation method 8, projective Riccati equation method 9, differential transform method 10, direct algebraic method 11, first integral method 12, Hirota’s bilinear method
In this paper, by using the integral bifurcation method 34–36, we mainly investigate some new exact solutions such as explicit solutions of Jacobian elliptic function type
A new method is suggested for obtaining the exact and numerical solutions of the initial-boundary value problem for a nonlinear parabolic type equation in the domain with the
Based on the models of urban density, two kinds of fractal dimensions of urban form can be evaluated with the scaling relations between the wave number and the spectral density.. One
Interesting results were obtained in Lie group invariance of generalized functions [8, 31, 46, 48], nonlinear hyperbolic equations with generalized function data [7, 39, 40, 42, 45,
Keywords and Phrases: Parabolic systems, scroll wave patterns, scroll wave filaments, spirals, excitable media, crossover collision, singularity theory, Thom transversality,