Invariance of the Kaup-Kupershmidt equation and triangular\n auto-B "acklund transformations

2012/04/20 by Marianna Euler, Euler, Marianna, Norbert Euler +1 · 1 citation
Chemistry · Physics and Astronomy · #35C05 #37K35 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1204.4569

openalex publication_date 2012/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report triangular auto-B "acklund transformations for the solutions of a\nfifth-order evolution equation, which is a constraint for an invariance\ncondition of the Kaup-Kupershmidt equation derived by E. G. Reyes in his paper\ntitled "Nonlocal symmetries and the Kaup-Kupershmidt equation" [ it J. Math.\nPhys. bf 46, 073507, 19 pp., 2005]. These auto-B "acklund transformations\ncan then be applied to generate solutions of the Kaup-Kupershmidt equation. We\nshow that triangular auto-B "acklund transformations result from a systematic\nmultipotentialisation of the Kupershmidt equation.\n

Cited by

• Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies

Related

• Backlund transformation of Kaup Kupershmidt equations with mutli soliton solutions un Darboux framewor
• Quad-equations and auto-Bäcklund transformations of NLS-type systems
• CPT Symmetries and the Backlund Transformations
• Auto-Backlund Transformation for the r-th Double Modified Dispersionless Kadomtsev-Petviashvili Equation
• On the integrability of a discrete analogue of the Kaup-Kupershmidt equation