Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs

Xiazhi Hao

Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 2, pp. 139-148

Résumé

By including spectral functions, we obtain nonlocal symmetries equivalent to Lie point symmetries of the corresponding extended systems for the Boussinesq equation, the modified generalized Vakhnenko equation, the Hirota–Satsuma equation, and the Sawada–Kotera equation. All considered equations have third-order Lax pairs, which allows studying their nonlocal symmetries in a unified way.

Détail

Keywords: nonlocal symmetry, modified generalized Vakhnenko equation, Hirota–Satsuma equation
Mots-clés : Boussinesq equation, Sawada–Kotera equation.

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