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On Singular Solutions to PDEs with Turning Point Involving a Quadratic Nonlinearity
2017
Abstract and Applied Analysis
We study a singularly perturbed PDE with quadratic nonlinearity depending on a complex perturbation parameter ϵ. The problem involves an irregular singularity in time, as in a recent work of the author and A. Lastra, but possesses also, as a new feature, a turning point at the origin in C. We construct a family of sectorial meromorphic solutions obtained as a small perturbation in ϵ of a slow curve of the equation in some time scale. We show that the nonsingular parts of these solutions share
doi:10.1155/2017/9405298
fatcat:ufnjwacx3fd6lba6kpk7lhf34a