A bi-Hamiltonian Integrable Two Component Generalization of the third-Order Burgers Equation

We announce a new bi-Hamiltonian integrable two-component system admitting the scalar 3rd-order Burgers equation as a reduction.

💡 Research Summary

The paper introduces a novel two‑component evolution system that serves as a natural multi‑field extension of the scalar third‑order Burgers equation
(u_{t}=u_{xxx}+3u,u_{xx}+3u_{x}^{2}+3u^{2}u_{x}).
The authors write the system in the form
\