Symbolic Computation of Scaling Invariant Lax Pairs in Operator Form for Completely Integrable Systems Based on scaling symmetry properties, a direct method to compute Lax pairs in operator form for ...
A geometric formulation of Bäcklund transformations between wavelike Monge-Ampere equations (for one function of two variables) leads to an overdetermined PDE system for the equations defining the ...
Abstract: The talk is aimed at presenting an overview of recent results on the development and application of Whitham modulation theory for two-dimensional nonlinear evolution equations, focusing ...