# On the Riemann-Hilbert transformations for a Galilean invariant system

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## Summary

*As an application of the Riemann-Hilbert (RH) problem to mathematical physics, the RH transformations are considered for a Galilean invariant nonlinear system. Algebraic RH transformation gives rise to new solutions from the old via a calculation in linear algebra. It is proved that the infinitesimal RH transformations form an infinite-dimensional Lie algebra without using a hierarchy of potentials*.

## Keywords

Mathematical Physic Nonlinear System Linear Algebra Invariant System Galilean Invariant System
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