CORDIS Project
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This project explores the application of integrable systems theory to non-integrable partial differential equations (PDEs). It aims to classify these equations, identify universal solution forms, and create an online library of qualitative behaviors and analytical tools for researchers in the field.
The basic idea of the project is to apply methods and results of the theory of integrable systems to non-integrable PDEs.
We do not promise to solve any PDE; however, in certain strongly nonlinear regimes, solutions to a conservative non-integrable PDE exhibit integrable behaviour.
The realization of this idea, supported by some preliminary analytical and numerical results, will consist of three main tasks: 1) classify normal forms of quasilinear Hamiltonian PDEs and their perturbations; 2) re…
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