Blow-up phenomena in nonlinear parabolic equations represent a critical area within the study of partial differential equations, where solutions may become unbounded in finite time under certain ...
Journal of Computational Mathematics, Vol. 37, No. 1 (January 2019), pp. 1-17 (17 pages) This paper develops a framework to deal with the unconditional superclose analysis of nonlinear parabolic ...
In this paper we are dealing with a partial differential equation of parabolic type, which degenerates on one side of the domain. This equation may be viewed either as a model of particle diffusion in ...
Recent developments in nonlinear optics have led to the discovery of a new class of ultrashort pulse, the ‘optical similariton’. Optical similaritons arise when the interaction of nonlinearity, ...