Second-order PDEs with integrable symbols

The aim of this project is to study nonlinear second order partial differential equations (PDEs) in three and four dimensions (3D, 4D) and establish integrability of certain classes of these PDEs based on some geometric properties of their principal symbols. In 3D, the geometric properties are the E...

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Bibliographic Details
Main Author: Sobhi Berjawi
Format: Default Thesis
Published: 2023
Subjects:
Other mathematical sciences not elsewhere classified
Einstein-Weyl
conformal structure
self-duality
dispersionless Lax pair
characteristic variety
Monge-Ampere equations
heavenly equations
Online Access:https://dx.doi.org/10.26174/thesis.lboro.22067963.v1
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https://dx.doi.org/10.26174/thesis.lboro.22067963.v1

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