Generalized structure of Lax representations for nonlinear evolution equation

DOI10.1007/BF00127015zbMath0904.35087OpenAlexW151224581MaRDI QIDQ1387593

Zhijun Qiao

Publication date: 7 June 1998

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00127015

zbMATH Keywords

generalized structure of Lax representationsgeneration methodLevi hierarchy

Mathematics Subject Classification ID

Related Items (5)

Soliton dynamics to the multi-component complex coupled integrable dispersionless equation ⋮ \((2+1)\)-dimensional local and nonlocal reductions of the negative AKNS system: soliton solutions ⋮ A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions ⋮ On \((2+1)\)-dimensional mixed AKNS hierarchy ⋮ The quasi-periodic solutions of mixed KdV equations

Cites Work

• Commutator representation of isospectral equations
• Nonlinearization of the Lax system for AKNS hierarchy
• Algebraic structure of the operator related to stationary systems
• On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems
• The algebraic structures of isospectral Lax operators and applications to integrable equations
• Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
• The algebraic structure of zero curvature representations and application to coupled KdV systems
• A Bargmann system and the involutive representation of solutions of the Levi hierarchy
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