Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations

DOI10.1080/14029251.2017.1341694zbMath1420.37060OpenAlexW2632816624MaRDI QIDQ5231071

Enrique G. Reyes, Marianna Euler, Norbert Euler

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2017.1341694

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (4)

Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications ⋮ On the hierarchies of the fully nonlinear Möbius-invariant and symmetry-integrable evolution equations of order three ⋮ Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system ⋮ Residual symmetry, Bäcklund transformation, and soliton solutions of the higher-order Broer-Kaup system

Cites Work

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• Equations of pseudo-spherical type (After S. S. Chern and K. Tenenblat)
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• Invariance of the Kaup–Kupershmidt Equation and Triangular Auto-Bäcklund Transformations
• Nonlocal symmetries and the Kaup–Kupershmidt equation
• Pseudopotentials, Lax equations and Backlund transformations for nonlinear evolution equations
• A Class of Semilinear Fifth-Order Evolution Equations: Recursion Operators and Multipotentialisations

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