What is it about?
The Lie group approach was used to reduce the Fornberg-Whitham equation (with the "peakon-like" kernel) to the second-order ordinary differential equation in new invariant variables. Some analytical and numerical solutions to that ODE had been found
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Why is it important?
The new class of solutions of the Fornberg-Whitham equation is found different from usual traveling-wave one.
Perspectives
It was an attempt to look at the problem of solution of the famous equation from a another point of view.
Alexander Kozlov
Vitebsk State Medical University
Read the Original
This page is a summary of: Symmetry of the Fornberg-Whitham equation, January 2023, American Institute of Physics,
DOI: 10.1063/5.0163206.
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