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Multiphase Similarity Solutions of Integrable Evolution Equations
| Content Provider | Scilit |
|---|---|
| Author | Flaschka, H. Newell, A. C. |
| Copyright Year | 2017 |
| Description | This chapter introduces a wider class of solutions of the Painlevé equations and related equations: the multiphase similarity solutions of integrable evolution equations. These are supposed to be to the standard similarity solutions–what multisoliton or finite-gap periodic solutions are to solitons and cnoidal waves. The study of multiphase similarity solutions originated in attempts to understand the work on the scaling limit of the n-point correlation functions of the Ising model. The chapter shows that many-phase Painlevé functions are somehow analogous to the Theta-functions which afford formulas for finite-gap solutions of integrable systems, and that correspondingly the concept of similarity should have a natural generalization to many phases. Book Name: Nonlinear Partial Differential Equations in Engineering and Applied Science |
| Related Links | https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9780203745465-24&type=chapterpdf |
| Ending Page | 395 |
| Page Count | 23 |
| Starting Page | 373 |
| DOI | 10.1201/9780203745465-24 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2017-10-02 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Nonlinear Partial Differential Equations in Engineering and Applied Science Condensed Matter Physics Evolution Functions Equations Similarity Solutions Solutions of Integrable Multiphase Similarity Model Chapter |
| Content Type | Text |
| Resource Type | Chapter |
