A novel noncommutative KdV-type equation, its recursion operator, and solitons

DOI10.1063/1.5027481zbMath1392.35256arXiv1704.03208OpenAlexW3100344678MaRDI QIDQ4639388

Egmont Porten, Cornelia Schiebold, Sandra Carillo, Mauro Lo Schiavo

Publication date: 9 May 2018

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

Full work available at URL: https://arxiv.org/abs/1704.03208

zbMATH Keywords

Cole-Hopf transformationKdV equationexplicit solutionhierarchymKdV equationmirror equationmeta-KdV equationrecurion

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) 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) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items

Quaternion-Valued Breather Soliton, Rational, and Periodic KdV Solutions ⋮ Noncommutative coupled complex modified Korteweg–de Vries equation: Darboux and binary Darboux transformations ⋮ Cauchy matrix solutions to some local and nonlocal complex equations ⋮ Differential substitutions for non-Abelian equations of KdV type ⋮ KdV-type equations linked via Bäcklund transformations: remarks and perspectives ⋮ The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions ⋮ Abelian versus non-abelian Bäcklund charts: some remarks ⋮ Matrix Solitons Solutions of the Modified Korteweg–de Vries Equation ⋮ Soliton solutions of noncommutative anti-self-dual Yang–Mills equations

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