Localization of Nonlocal Symmetries and Symmetry Reductions of Burgers Equation

DOI10.1088/0253-6102/67/5/467zbMath1365.35146OpenAlexW2623629229MaRDI QIDQ5269776

Sen-yue Lou, Jian-Wen Wu, Jun Yu

Publication date: 28 June 2017

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/67/5/467

zbMATH Keywords

Burgers equationintegrable systemsnonlocal symmetriesinteractions among different waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Soliton solutions (35C08)

Related Items (1)

On the local fractional variable‐coefficient Ablowitz–Kaup–Newell–Segur hierarchy: Hamiltonian structure, localization of nonlocal symmetries, and exact solution of reduced equations

Cites Work

• Negative Kadomtsev-Petviashvili equation and extension of the sinh-Gordon equation
• Nonlocal symmetries related to Bäcklund transformation and their applications
• The Painlevé property for partial differential equations
• Conformal invariance and integrable models
• Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• Negative Kadomtsev–Petviashvili Hierarchy
• Eigenvectors of the recursion operator and a symmetry structure for the coupled KdV hierarchy
• Non-local symmetries via Darboux transformations
• Nonlocalization of Nonlocal Symmetry and Symmetry Reductions of the Burgers Equation
• CTE Solvability, Nonlocal Symmetries and Exact Solutions of Dispersive Water Wave System
• Consistent Riccati Expansion for Integrable Systems

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