A new class of linearizable equations

Abstract

Using the symmetry approach, we find a class of integrable nonlinear PDEs with dispersion law $\omega (k)=k^{\frac{3}{2}}$. All these equations turn out to be linearizable by means of a differential parametrization.

Submitted to Physics Letters A

References in corpus (2)

• Energy-dependent potentials revisited: A universal hierarchy of hydrodynamic type
• Towards a theory of differential constraints of a hydrodynamic hierarchy