KdV shock-like waves as invariant solutions of KdV equation symmetries
V. R. Kudashev
Abstract
Open-access reader
V. R. Kudashev
Abstract
Open-access reader
We consider the following hypothesis: some of KdV equation shock-like waves are invariant with respect to the combination of the Galilean symmetry and KdV equation higher symmetries. Also we demonstrate our approach on the example of Burgers equation.
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We consider the following hypothesis: some of KdV equation shock-like waves are invariant with respect to the combination of the Galilean symmetry and KdV equation higher symmetries. Also we demonstrate our approach on the example of Burgers equation.
Key concepts: Korteweg–de Vries equation, Homogeneous space, Invariant (physics), Shock wave, Mathematical physics, Physics, Mathematics, Mathematical analysis