Factorization of the 2×2 matrix recursion operator of the coupled KdV equation

DOI10.1063/1.526068zbMath0554.35121OpenAlexW1967762857MaRDI QIDQ3217038

Raju N. Aiyer

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526068

zbMATH Keywords

recursion operatorsine-Gordon equationcoupled KdV equationinfinitesimal transformationsscattering equation

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

Nonlocal KdV equations ⋮ Recursion operators and conservation laws for discrete Lax equations

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Closure of the squared Zakharov-Shabat eigenstates
• The Lie Algebra Structure of Nonlinear Evolution Equations Admitting Infinite Dimensional Abelian Symmetry Groups
• Recursion operators for infinitesimal transformations and their inverses for certain nonlinear evolution equations
• A test for the integrability of nonlinear evolution equations
• Application of hereditary symmetries to nonlinear evolution equations
• A symmetry approach to exactly solvable evolution equations
• Factorization of operators I. Miura transformations
• Factorization of operators.II
• The bi-Hamiltonian structure of some nonlinear fifth- and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants
• A Green’s function for a linear equation associated with solitons

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