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New complex-valued solutions of Painlevé IV: An application to the nonlinear Schrödinger equation
This paper is devoted to identifying some novel complex-valued solutions of the fourth Painlevé equation (PIV). This equation possesses two parameters and past work has identified many exact solutions of PIV for certain real values of this pair of constants. Two hierarchies of solutions are obtained that are distinguished by the fact that the associated parameters are complex valued. These solutions are applied to the nonlinear Schrödinger equation which enables a new similarity solution to be derived.
History
Publication title
Applied Mathematics LettersVolume
101Article number
106060Number
106060Pagination
1-7ISSN
0893-9659Department/School
School of Natural SciencesPublisher
Pergamon-Elsevier Science LtdPlace of publication
The Boulevard, Langford Lane, Kidlington, Oxford, England, Ox5 1GbRights statement
Copyright 2019 Elsevier Ltd.Repository Status
- Restricted