Geodesic
Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs
Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 2, pp. 139-148

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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.
Keywords: nonlocal symmetry, Boussinesq equation, modified generalized Vakhnenko equation
Mots-clés : Hirota–Satsuma equation, Sawada–Kotera equation. 
@article{TMF_2021_206_2_a0,
     author = {Xiazhi Hao},
     title = {Nonlocal symmetries of some nonlinear partial differential equations with third-order {Lax} pairs},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {139--148},
     publisher = {mathdoc},
     volume = {206},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_206_2_a0/}
}
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Xiazhi Hao. Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs. Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 2, pp. 139-148. http://geodesic.mathdoc.fr/item/TMF_2021_206_2_a0/