Separable solutions of some quasilinear equations with source reaction
Marie-Francoise Bidaut-Veron, Mustapha Jazar, Laurent Veron
TL;DR
This paper investigates the existence of singular separable solutions to certain quasilinear equations with reaction terms, employing a dynamical system approach in two dimensions to construct these solutions.
Contribution
It introduces a method to construct singular separable solutions for quasilinear equations with reaction terms using dynamical systems in 2D.
Findings
Existence of singular separable solutions established.
Dynamical system approach successfully applied in 2D case.
Provides a framework for analyzing similar quasilinear equations.
Abstract
We study the existence of singular separable solutions to a class of quasilinear equations with reaction term. In the 2-dim case, we use a dynamical system approach to construct our solutions.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Nonlinear Differential Equations Analysis · Mathematical and Theoretical Epidemiology and Ecology Models